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Finding the Fourth Proportional to 114.80, 170.92 and 111.56

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Solution

The fourth proportional to 114.80, 170.92 and 111.56 is: 166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.80 : 170.92 = 111.56 : x
  2. Step 2: Convert to fraction form
    114.80/170.92 = 111.56/x
  3. Step 3: Cross multiply
    114.80x = 170.92 × 111.56
  4. Step 4: Simplify right side
    114.80x = 19,067.84
  5. Step 5: Solve for x
    x = 19,067.84/114.80
  6. Step 6: Final answer
    x = 166.10

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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.