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Finding the Fourth Proportional to 249.32, 343.78 and 166.25

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Solution

The fourth proportional to 249.32, 343.78 and 166.25 is: 229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.32 : 343.78 = 166.25 : x
  2. Step 2: Convert to fraction form
    249.32/343.78 = 166.25/x
  3. Step 3: Cross multiply
    249.32x = 343.78 × 166.25
  4. Step 4: Simplify right side
    249.32x = 57,153.87
  5. Step 5: Solve for x
    x = 57,153.87/249.32
  6. Step 6: Final answer
    x = 229.24

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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.