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Finding the Fourth Proportional to 114.97, 158.60 and 78.15

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Solution

The fourth proportional to 114.97, 158.60 and 78.15 is: 107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.97 : 158.60 = 78.15 : x
  2. Step 2: Convert to fraction form
    114.97/158.60 = 78.15/x
  3. Step 3: Cross multiply
    114.97x = 158.60 × 78.15
  4. Step 4: Simplify right side
    114.97x = 12,394.20
  5. Step 5: Solve for x
    x = 12,394.20/114.97
  6. Step 6: Final answer
    x = 107.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.