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Finding the Fourth Proportional to 363.96, 502.40 and 354.65

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Solution

The fourth proportional to 363.96, 502.40 and 354.65 is: 489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 502.40 = 354.65 : x
  2. Step 2: Convert to fraction form
    363.96/502.40 = 354.65/x
  3. Step 3: Cross multiply
    363.96x = 502.40 × 354.65
  4. Step 4: Simplify right side
    363.96x = 178,174.53
  5. Step 5: Solve for x
    x = 178,174.53/363.96
  6. Step 6: Final answer
    x = 489.54

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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.