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Finding the Fourth Proportional to 161.52, 224.45 and 159.85

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Solution

The fourth proportional to 161.52, 224.45 and 159.85 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.52 : 224.45 = 159.85 : x
  2. Step 2: Convert to fraction form
    161.52/224.45 = 159.85/x
  3. Step 3: Cross multiply
    161.52x = 224.45 × 159.85
  4. Step 4: Simplify right side
    161.52x = 35,878.33
  5. Step 5: Solve for x
    x = 35,878.33/161.52
  6. Step 6: Final answer
    x = 222.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.