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Finding the Fourth Proportional to 337.65, 502.74 and 317.61

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Solution

The fourth proportional to 337.65, 502.74 and 317.61 is: 472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.65 : 502.74 = 317.61 : x
  2. Step 2: Convert to fraction form
    337.65/502.74 = 317.61/x
  3. Step 3: Cross multiply
    337.65x = 502.74 × 317.61
  4. Step 4: Simplify right side
    337.65x = 159,675.25
  5. Step 5: Solve for x
    x = 159,675.25/337.65
  6. Step 6: Final answer
    x = 472.90

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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.