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Finding the Fourth Proportional to 98.96, 135.82 and 88.04

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Solution

The fourth proportional to 98.96, 135.82 and 88.04 is: 120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.96 : 135.82 = 88.04 : x
  2. Step 2: Convert to fraction form
    98.96/135.82 = 88.04/x
  3. Step 3: Cross multiply
    98.96x = 135.82 × 88.04
  4. Step 4: Simplify right side
    98.96x = 11,957.59
  5. Step 5: Solve for x
    x = 11,957.59/98.96
  6. Step 6: Final answer
    x = 120.83

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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.