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Finding the Fourth Proportional to 98.09, 134.96 and 95.05

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Solution

The fourth proportional to 98.09, 134.96 and 95.05 is: 130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.09 : 134.96 = 95.05 : x
  2. Step 2: Convert to fraction form
    98.09/134.96 = 95.05/x
  3. Step 3: Cross multiply
    98.09x = 134.96 × 95.05
  4. Step 4: Simplify right side
    98.09x = 12,827.14
  5. Step 5: Solve for x
    x = 12,827.14/98.09
  6. Step 6: Final answer
    x = 130.78

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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.