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Finding the Fourth Proportional to 66.74, 99.97 and 34.70

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Solution

The fourth proportional to 66.74, 99.97 and 34.70 is: 51.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.74 : 99.97 = 34.70 : x
  2. Step 2: Convert to fraction form
    66.74/99.97 = 34.70/x
  3. Step 3: Cross multiply
    66.74x = 99.97 × 34.70
  4. Step 4: Simplify right side
    66.74x = 3,468.96
  5. Step 5: Solve for x
    x = 3,468.96/66.74
  6. Step 6: Final answer
    x = 51.98

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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.