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Finding the Fourth Proportional to 442.19, 610.26 and 380.22

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Solution

The fourth proportional to 442.19, 610.26 and 380.22 is: 524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.19 : 610.26 = 380.22 : x
  2. Step 2: Convert to fraction form
    442.19/610.26 = 380.22/x
  3. Step 3: Cross multiply
    442.19x = 610.26 × 380.22
  4. Step 4: Simplify right side
    442.19x = 232,033.06
  5. Step 5: Solve for x
    x = 232,033.06/442.19
  6. Step 6: Final answer
    x = 524.74

Related Problems

Find fourth proportional to 221.10, 305.13 and 190.11
Half scale
Find fourth proportional to 884.38, 1,220.52 and 760.44
Double scale
Find fourth proportional to 443.19, 611.64 and 381.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.