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Finding the Fourth Proportional to 97.97, 146.97 and 85.10

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Solution

The fourth proportional to 97.97, 146.97 and 85.10 is: 127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.97 : 146.97 = 85.10 : x
  2. Step 2: Convert to fraction form
    97.97/146.97 = 85.10/x
  3. Step 3: Cross multiply
    97.97x = 146.97 × 85.10
  4. Step 4: Simplify right side
    97.97x = 12,506.41
  5. Step 5: Solve for x
    x = 12,506.41/97.97
  6. Step 6: Final answer
    x = 127.66

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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.