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Finding the Fourth Proportional to 98.97, 136.40 and 77.10

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Solution

The fourth proportional to 98.97, 136.40 and 77.10 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 136.40 = 77.10 : x
  2. Step 2: Convert to fraction form
    98.97/136.40 = 77.10/x
  3. Step 3: Cross multiply
    98.97x = 136.40 × 77.10
  4. Step 4: Simplify right side
    98.97x = 10,516.05
  5. Step 5: Solve for x
    x = 10,516.05/98.97
  6. Step 6: Final answer
    x = 106.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.