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Finding the Fourth Proportional to 337.56, 506.70 and 257.28

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Solution

The fourth proportional to 337.56, 506.70 and 257.28 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.56 : 506.70 = 257.28 : x
  2. Step 2: Convert to fraction form
    337.56/506.70 = 257.28/x
  3. Step 3: Cross multiply
    337.56x = 506.70 × 257.28
  4. Step 4: Simplify right side
    337.56x = 130,363.78
  5. Step 5: Solve for x
    x = 130,363.78/337.56
  6. Step 6: Final answer
    x = 386.19

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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.