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Finding the Fourth Proportional to 114.13, 170.91 and 96.97

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Solution

The fourth proportional to 114.13, 170.91 and 96.97 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.13 : 170.91 = 96.97 : x
  2. Step 2: Convert to fraction form
    114.13/170.91 = 96.97/x
  3. Step 3: Cross multiply
    114.13x = 170.91 × 96.97
  4. Step 4: Simplify right side
    114.13x = 16,573.14
  5. Step 5: Solve for x
    x = 16,573.14/114.13
  6. Step 6: Final answer
    x = 145.21

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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.