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Finding the Fourth Proportional to 229.68, 344.49 and 142.95

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Solution

The fourth proportional to 229.68, 344.49 and 142.95 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 344.49 = 142.95 : x
  2. Step 2: Convert to fraction form
    229.68/344.49 = 142.95/x
  3. Step 3: Cross multiply
    229.68x = 344.49 × 142.95
  4. Step 4: Simplify right side
    229.68x = 49,244.85
  5. Step 5: Solve for x
    x = 49,244.85/229.68
  6. Step 6: Final answer
    x = 214.41

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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.