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Finding the Fourth Proportional to 229.62, 344.13 and 106.16

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Solution

The fourth proportional to 229.62, 344.13 and 106.16 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.62 : 344.13 = 106.16 : x
  2. Step 2: Convert to fraction form
    229.62/344.13 = 106.16/x
  3. Step 3: Cross multiply
    229.62x = 344.13 × 106.16
  4. Step 4: Simplify right side
    229.62x = 36,530.72
  5. Step 5: Solve for x
    x = 36,530.72/229.62
  6. Step 6: Final answer
    x = 159.09

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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.