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Finding the Fourth Proportional to 223.86, 337.09 and 166.49

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Solution

The fourth proportional to 223.86, 337.09 and 166.49 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.86 : 337.09 = 166.49 : x
  2. Step 2: Convert to fraction form
    223.86/337.09 = 166.49/x
  3. Step 3: Cross multiply
    223.86x = 337.09 × 166.49
  4. Step 4: Simplify right side
    223.86x = 56,122.11
  5. Step 5: Solve for x
    x = 56,122.11/223.86
  6. Step 6: Final answer
    x = 250.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.