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Finding the Fourth Proportional to 229.65, 344.61 and 106.21

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Solution

The fourth proportional to 229.65, 344.61 and 106.21 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.65 : 344.61 = 106.21 : x
  2. Step 2: Convert to fraction form
    229.65/344.61 = 106.21/x
  3. Step 3: Cross multiply
    229.65x = 344.61 × 106.21
  4. Step 4: Simplify right side
    229.65x = 36,601.03
  5. Step 5: Solve for x
    x = 36,601.03/229.65
  6. Step 6: Final answer
    x = 159.38

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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.