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Finding the Fourth Proportional to 249.19, 343.31 and 166.10

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Solution

The fourth proportional to 249.19, 343.31 and 166.10 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.19 : 343.31 = 166.10 : x
  2. Step 2: Convert to fraction form
    249.19/343.31 = 166.10/x
  3. Step 3: Cross multiply
    249.19x = 343.31 × 166.10
  4. Step 4: Simplify right side
    249.19x = 57,021.24
  5. Step 5: Solve for x
    x = 57,021.24/249.19
  6. Step 6: Final answer
    x = 228.83

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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.