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Finding the Fourth Proportional to 114.59, 170.96 and 113.78

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Solution

The fourth proportional to 114.59, 170.96 and 113.78 is: 169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 170.96 = 113.78 : x
  2. Step 2: Convert to fraction form
    114.59/170.96 = 113.78/x
  3. Step 3: Cross multiply
    114.59x = 170.96 × 113.78
  4. Step 4: Simplify right side
    114.59x = 19,451.83
  5. Step 5: Solve for x
    x = 19,451.83/114.59
  6. Step 6: Final answer
    x = 169.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.