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Finding the Fourth Proportional to 380.75, 525.23 and 256.19

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Solution

The fourth proportional to 380.75, 525.23 and 256.19 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 525.23 = 256.19 : x
  2. Step 2: Convert to fraction form
    380.75/525.23 = 256.19/x
  3. Step 3: Cross multiply
    380.75x = 525.23 × 256.19
  4. Step 4: Simplify right side
    380.75x = 134,557.39
  5. Step 5: Solve for x
    x = 134,557.39/380.75
  6. Step 6: Final answer
    x = 353.40

Related Problems

Find fourth proportional to 190.38, 262.61 and 128.10
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Double scale
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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.