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Finding the Fourth Proportional to 500.96, 752.76 and 257.64

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Solution

The fourth proportional to 500.96, 752.76 and 257.64 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.96 : 752.76 = 257.64 : x
  2. Step 2: Convert to fraction form
    500.96/752.76 = 257.64/x
  3. Step 3: Cross multiply
    500.96x = 752.76 × 257.64
  4. Step 4: Simplify right side
    500.96x = 193,941.09
  5. Step 5: Solve for x
    x = 193,941.09/500.96
  6. Step 6: Final answer
    x = 387.14

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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.