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Finding the Fourth Proportional to 363.30, 502.65 and 307.86

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Solution

The fourth proportional to 363.30, 502.65 and 307.86 is: 425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 502.65 = 307.86 : x
  2. Step 2: Convert to fraction form
    363.30/502.65 = 307.86/x
  3. Step 3: Cross multiply
    363.30x = 502.65 × 307.86
  4. Step 4: Simplify right side
    363.30x = 154,745.83
  5. Step 5: Solve for x
    x = 154,745.83/363.30
  6. Step 6: Final answer
    x = 425.95

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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.