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Finding the Fourth Proportional to 362.49, 502.90 and 349.53

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Solution

The fourth proportional to 362.49, 502.90 and 349.53 is: 484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.49 : 502.90 = 349.53 : x
  2. Step 2: Convert to fraction form
    362.49/502.90 = 349.53/x
  3. Step 3: Cross multiply
    362.49x = 502.90 × 349.53
  4. Step 4: Simplify right side
    362.49x = 175,778.64
  5. Step 5: Solve for x
    x = 175,778.64/362.49
  6. Step 6: Final answer
    x = 484.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.