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Finding the Fourth Proportional to 642.92, 964.37 and 155.97

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Solution

The fourth proportional to 642.92, 964.37 and 155.97 is: 233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.92 : 964.37 = 155.97 : x
  2. Step 2: Convert to fraction form
    642.92/964.37 = 155.97/x
  3. Step 3: Cross multiply
    642.92x = 964.37 × 155.97
  4. Step 4: Simplify right side
    642.92x = 150,412.01
  5. Step 5: Solve for x
    x = 150,412.01/642.92
  6. Step 6: Final answer
    x = 233.95

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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.