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Finding the Fourth Proportional to 249.27, 344.13 and 166.65

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Solution

The fourth proportional to 249.27, 344.13 and 166.65 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.27 : 344.13 = 166.65 : x
  2. Step 2: Convert to fraction form
    249.27/344.13 = 166.65/x
  3. Step 3: Cross multiply
    249.27x = 344.13 × 166.65
  4. Step 4: Simplify right side
    249.27x = 57,349.26
  5. Step 5: Solve for x
    x = 57,349.26/249.27
  6. Step 6: Final answer
    x = 230.07

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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.