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Finding the Fourth Proportional to 337.03, 502.00 and 321.23

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Solution

The fourth proportional to 337.03, 502.00 and 321.23 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.03 : 502.00 = 321.23 : x
  2. Step 2: Convert to fraction form
    337.03/502.00 = 321.23/x
  3. Step 3: Cross multiply
    337.03x = 502.00 × 321.23
  4. Step 4: Simplify right side
    337.03x = 161,257.91
  5. Step 5: Solve for x
    x = 161,257.91/337.03
  6. Step 6: Final answer
    x = 478.47

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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.