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Finding the Fourth Proportional to 420.77, 580.69 and 234.28

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Solution

The fourth proportional to 420.77, 580.69 and 234.28 is: 323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.77 : 580.69 = 234.28 : x
  2. Step 2: Convert to fraction form
    420.77/580.69 = 234.28/x
  3. Step 3: Cross multiply
    420.77x = 580.69 × 234.28
  4. Step 4: Simplify right side
    420.77x = 136,043.08
  5. Step 5: Solve for x
    x = 136,043.08/420.77
  6. Step 6: Final answer
    x = 323.32

Related Problems

Find fourth proportional to 210.38, 290.35 and 117.14
Half scale
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Double scale
Find fourth proportional to 421.77, 582.07 and 235.28
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.