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Finding the Fourth Proportional to 175.71, 243.75 and 166.49

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Solution

The fourth proportional to 175.71, 243.75 and 166.49 is: 230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 243.75 = 166.49 : x
  2. Step 2: Convert to fraction form
    175.71/243.75 = 166.49/x
  3. Step 3: Cross multiply
    175.71x = 243.75 × 166.49
  4. Step 4: Simplify right side
    175.71x = 40,581.94
  5. Step 5: Solve for x
    x = 40,581.94/175.71
  6. Step 6: Final answer
    x = 230.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.