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Finding the Fourth Proportional to 173.88, 239.85 and 115.74

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Solution

The fourth proportional to 173.88, 239.85 and 115.74 is: 159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.88 : 239.85 = 115.74 : x
  2. Step 2: Convert to fraction form
    173.88/239.85 = 115.74/x
  3. Step 3: Cross multiply
    173.88x = 239.85 × 115.74
  4. Step 4: Simplify right side
    173.88x = 27,760.24
  5. Step 5: Solve for x
    x = 27,760.24/173.88
  6. Step 6: Final answer
    x = 159.65

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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.