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Finding the Fourth Proportional to 98.59, 135.96 and 88.91

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Solution

The fourth proportional to 98.59, 135.96 and 88.91 is: 122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.59 : 135.96 = 88.91 : x
  2. Step 2: Convert to fraction form
    98.59/135.96 = 88.91/x
  3. Step 3: Cross multiply
    98.59x = 135.96 × 88.91
  4. Step 4: Simplify right side
    98.59x = 12,088.20
  5. Step 5: Solve for x
    x = 12,088.20/98.59
  6. Step 6: Final answer
    x = 122.61

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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.