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Finding the Fourth Proportional to 337.27, 503.73 and 275.71

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Solution

The fourth proportional to 337.27, 503.73 and 275.71 is: 411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.27 : 503.73 = 275.71 : x
  2. Step 2: Convert to fraction form
    337.27/503.73 = 275.71/x
  3. Step 3: Cross multiply
    337.27x = 503.73 × 275.71
  4. Step 4: Simplify right side
    337.27x = 138,879.50
  5. Step 5: Solve for x
    x = 138,879.50/337.27
  6. Step 6: Final answer
    x = 411.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.