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Finding the Fourth Proportional to 224.26, 335.80 and 158.90

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Solution

The fourth proportional to 224.26, 335.80 and 158.90 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.26 : 335.80 = 158.90 : x
  2. Step 2: Convert to fraction form
    224.26/335.80 = 158.90/x
  3. Step 3: Cross multiply
    224.26x = 335.80 × 158.90
  4. Step 4: Simplify right side
    224.26x = 53,358.62
  5. Step 5: Solve for x
    x = 53,358.62/224.26
  6. Step 6: Final answer
    x = 237.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.