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Finding the Fourth Proportional to 114.57, 170.97 and 111.83

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Solution

The fourth proportional to 114.57, 170.97 and 111.83 is: 166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.57 : 170.97 = 111.83 : x
  2. Step 2: Convert to fraction form
    114.57/170.97 = 111.83/x
  3. Step 3: Cross multiply
    114.57x = 170.97 × 111.83
  4. Step 4: Simplify right side
    114.57x = 19,118.87
  5. Step 5: Solve for x
    x = 19,118.87/114.57
  6. Step 6: Final answer
    x = 166.87

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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.