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Finding the Fourth Proportional to 337.75, 502.71 and 330.19

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Solution

The fourth proportional to 337.75, 502.71 and 330.19 is: 491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.75 : 502.71 = 330.19 : x
  2. Step 2: Convert to fraction form
    337.75/502.71 = 330.19/x
  3. Step 3: Cross multiply
    337.75x = 502.71 × 330.19
  4. Step 4: Simplify right side
    337.75x = 165,989.81
  5. Step 5: Solve for x
    x = 165,989.81/337.75
  6. Step 6: Final answer
    x = 491.46

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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.