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Finding the Fourth Proportional to 638.30, 956.54 and 363.82

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Solution

The fourth proportional to 638.30, 956.54 and 363.82 is: 545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.30 : 956.54 = 363.82 : x
  2. Step 2: Convert to fraction form
    638.30/956.54 = 363.82/x
  3. Step 3: Cross multiply
    638.30x = 956.54 × 363.82
  4. Step 4: Simplify right side
    638.30x = 348,004.17
  5. Step 5: Solve for x
    x = 348,004.17/638.30
  6. Step 6: Final answer
    x = 545.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.