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Finding the Fourth Proportional to 114.10, 170.97 and 91.15

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Solution

The fourth proportional to 114.10, 170.97 and 91.15 is: 136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 170.97 = 91.15 : x
  2. Step 2: Convert to fraction form
    114.10/170.97 = 91.15/x
  3. Step 3: Cross multiply
    114.10x = 170.97 × 91.15
  4. Step 4: Simplify right side
    114.10x = 15,583.92
  5. Step 5: Solve for x
    x = 15,583.92/114.10
  6. Step 6: Final answer
    x = 136.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.