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Finding the Fourth Proportional to 98.80, 135.06 and 95.02

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Solution

The fourth proportional to 98.80, 135.06 and 95.02 is: 129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.80 : 135.06 = 95.02 : x
  2. Step 2: Convert to fraction form
    98.80/135.06 = 95.02/x
  3. Step 3: Cross multiply
    98.80x = 135.06 × 95.02
  4. Step 4: Simplify right side
    98.80x = 12,833.40
  5. Step 5: Solve for x
    x = 12,833.40/98.80
  6. Step 6: Final answer
    x = 129.89

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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.