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Finding the Fourth Proportional to 66.50, 99.92 and 34.46

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Solution

The fourth proportional to 66.50, 99.92 and 34.46 is: 51.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 99.92 = 34.46 : x
  2. Step 2: Convert to fraction form
    66.50/99.92 = 34.46/x
  3. Step 3: Cross multiply
    66.50x = 99.92 × 34.46
  4. Step 4: Simplify right side
    66.50x = 3,443.24
  5. Step 5: Solve for x
    x = 3,443.24/66.50
  6. Step 6: Final answer
    x = 51.78

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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.