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Finding the Fourth Proportional to 99.98, 137.22 and 97.28

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Solution

The fourth proportional to 99.98, 137.22 and 97.28 is: 133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.98 : 137.22 = 97.28 : x
  2. Step 2: Convert to fraction form
    99.98/137.22 = 97.28/x
  3. Step 3: Cross multiply
    99.98x = 137.22 × 97.28
  4. Step 4: Simplify right side
    99.98x = 13,348.76
  5. Step 5: Solve for x
    x = 13,348.76/99.98
  6. Step 6: Final answer
    x = 133.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.