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Finding the Fourth Proportional to 114.97, 159.41 and 113.08

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Solution

The fourth proportional to 114.97, 159.41 and 113.08 is: 156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.97 : 159.41 = 113.08 : x
  2. Step 2: Convert to fraction form
    114.97/159.41 = 113.08/x
  3. Step 3: Cross multiply
    114.97x = 159.41 × 113.08
  4. Step 4: Simplify right side
    114.97x = 18,026.08
  5. Step 5: Solve for x
    x = 18,026.08/114.97
  6. Step 6: Final answer
    x = 156.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.