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Finding the Fourth Proportional to 249.32, 344.10 and 166.40

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Solution

The fourth proportional to 249.32, 344.10 and 166.40 is: 229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.32 : 344.10 = 166.40 : x
  2. Step 2: Convert to fraction form
    249.32/344.10 = 166.40/x
  3. Step 3: Cross multiply
    249.32x = 344.10 × 166.40
  4. Step 4: Simplify right side
    249.32x = 57,258.24
  5. Step 5: Solve for x
    x = 57,258.24/249.32
  6. Step 6: Final answer
    x = 229.66

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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.