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Finding the Fourth Proportional to 363.89, 502.40 and 339.39

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Solution

The fourth proportional to 363.89, 502.40 and 339.39 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.89 : 502.40 = 339.39 : x
  2. Step 2: Convert to fraction form
    363.89/502.40 = 339.39/x
  3. Step 3: Cross multiply
    363.89x = 502.40 × 339.39
  4. Step 4: Simplify right side
    363.89x = 170,510.38
  5. Step 5: Solve for x
    x = 170,510.38/363.89
  6. Step 6: Final answer
    x = 468.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.