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Finding the Fourth Proportional to 98.97, 135.35 and 97.56

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Solution

The fourth proportional to 98.97, 135.35 and 97.56 is: 133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 135.35 = 97.56 : x
  2. Step 2: Convert to fraction form
    98.97/135.35 = 97.56/x
  3. Step 3: Cross multiply
    98.97x = 135.35 × 97.56
  4. Step 4: Simplify right side
    98.97x = 13,204.26
  5. Step 5: Solve for x
    x = 13,204.26/98.97
  6. Step 6: Final answer
    x = 133.42

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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.