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Finding the Fourth Proportional to 99.18, 137.49 and 97.68

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Solution

The fourth proportional to 99.18, 137.49 and 97.68 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.18 : 137.49 = 97.68 : x
  2. Step 2: Convert to fraction form
    99.18/137.49 = 97.68/x
  3. Step 3: Cross multiply
    99.18x = 137.49 × 97.68
  4. Step 4: Simplify right side
    99.18x = 13,430.02
  5. Step 5: Solve for x
    x = 13,430.02/99.18
  6. Step 6: Final answer
    x = 135.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.