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Finding the Fourth Proportional to 362.17, 502.73 and 353.53

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Solution

The fourth proportional to 362.17, 502.73 and 353.53 is: 490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.17 : 502.73 = 353.53 : x
  2. Step 2: Convert to fraction form
    362.17/502.73 = 353.53/x
  3. Step 3: Cross multiply
    362.17x = 502.73 × 353.53
  4. Step 4: Simplify right side
    362.17x = 177,730.14
  5. Step 5: Solve for x
    x = 177,730.14/362.17
  6. Step 6: Final answer
    x = 490.74

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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.