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Finding the Fourth Proportional to 166.24, 229.44 and 159.52

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Solution

The fourth proportional to 166.24, 229.44 and 159.52 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 229.44 = 159.52 : x
  2. Step 2: Convert to fraction form
    166.24/229.44 = 159.52/x
  3. Step 3: Cross multiply
    166.24x = 229.44 × 159.52
  4. Step 4: Simplify right side
    166.24x = 36,600.27
  5. Step 5: Solve for x
    x = 36,600.27/166.24
  6. Step 6: Final answer
    x = 220.17

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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.