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Finding the Fourth Proportional to 225.68, 311.48 and 159.61

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Solution

The fourth proportional to 225.68, 311.48 and 159.61 is: 220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.68 : 311.48 = 159.61 : x
  2. Step 2: Convert to fraction form
    225.68/311.48 = 159.61/x
  3. Step 3: Cross multiply
    225.68x = 311.48 × 159.61
  4. Step 4: Simplify right side
    225.68x = 49,714.52
  5. Step 5: Solve for x
    x = 49,714.52/225.68
  6. Step 6: Final answer
    x = 220.29

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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.