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Finding the Fourth Proportional to 500.61, 751.26 and 257.31

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Solution

The fourth proportional to 500.61, 751.26 and 257.31 is: 386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.61 : 751.26 = 257.31 : x
  2. Step 2: Convert to fraction form
    500.61/751.26 = 257.31/x
  3. Step 3: Cross multiply
    500.61x = 751.26 × 257.31
  4. Step 4: Simplify right side
    500.61x = 193,306.71
  5. Step 5: Solve for x
    x = 193,306.71/500.61
  6. Step 6: Final answer
    x = 386.14

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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.