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Finding the Fourth Proportional to 514.16, 770.72 and 257.12

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Solution

The fourth proportional to 514.16, 770.72 and 257.12 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 770.72 = 257.12 : x
  2. Step 2: Convert to fraction form
    514.16/770.72 = 257.12/x
  3. Step 3: Cross multiply
    514.16x = 770.72 × 257.12
  4. Step 4: Simplify right side
    514.16x = 198,167.53
  5. Step 5: Solve for x
    x = 198,167.53/514.16
  6. Step 6: Final answer
    x = 385.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.