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Finding the Fourth Proportional to 173.78, 239.71 and 102.85

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Solution

The fourth proportional to 173.78, 239.71 and 102.85 is: 141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.78 : 239.71 = 102.85 : x
  2. Step 2: Convert to fraction form
    173.78/239.71 = 102.85/x
  3. Step 3: Cross multiply
    173.78x = 239.71 × 102.85
  4. Step 4: Simplify right side
    173.78x = 24,653.32
  5. Step 5: Solve for x
    x = 24,653.32/173.78
  6. Step 6: Final answer
    x = 141.87

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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.