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Finding the Fourth Proportional to 98.92, 135.63 and 97.64

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Solution

The fourth proportional to 98.92, 135.63 and 97.64 is: 133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.92 : 135.63 = 97.64 : x
  2. Step 2: Convert to fraction form
    98.92/135.63 = 97.64/x
  3. Step 3: Cross multiply
    98.92x = 135.63 × 97.64
  4. Step 4: Simplify right side
    98.92x = 13,242.91
  5. Step 5: Solve for x
    x = 13,242.91/98.92
  6. Step 6: Final answer
    x = 133.87

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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.