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Finding the Fourth Proportional to 642.38, 963.52 and 180.16

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Solution

The fourth proportional to 642.38, 963.52 and 180.16 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.38 : 963.52 = 180.16 : x
  2. Step 2: Convert to fraction form
    642.38/963.52 = 180.16/x
  3. Step 3: Cross multiply
    642.38x = 963.52 × 180.16
  4. Step 4: Simplify right side
    642.38x = 173,587.76
  5. Step 5: Solve for x
    x = 173,587.76/642.38
  6. Step 6: Final answer
    x = 270.23

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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.