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Finding the Fourth Proportional to 173.72, 239.46 and 166.89

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Solution

The fourth proportional to 173.72, 239.46 and 166.89 is: 230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.72 : 239.46 = 166.89 : x
  2. Step 2: Convert to fraction form
    173.72/239.46 = 166.89/x
  3. Step 3: Cross multiply
    173.72x = 239.46 × 166.89
  4. Step 4: Simplify right side
    173.72x = 39,963.75
  5. Step 5: Solve for x
    x = 39,963.75/173.72
  6. Step 6: Final answer
    x = 230.04

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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.