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Finding the Fourth Proportional to 158.80, 239.14 and 115.77

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Solution

The fourth proportional to 158.80, 239.14 and 115.77 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.80 : 239.14 = 115.77 : x
  2. Step 2: Convert to fraction form
    158.80/239.14 = 115.77/x
  3. Step 3: Cross multiply
    158.80x = 239.14 × 115.77
  4. Step 4: Simplify right side
    158.80x = 27,685.24
  5. Step 5: Solve for x
    x = 27,685.24/158.80
  6. Step 6: Final answer
    x = 174.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.