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Finding the Fourth Proportional to 229.40, 343.31 and 142.70

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Solution

The fourth proportional to 229.40, 343.31 and 142.70 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.40 : 343.31 = 142.70 : x
  2. Step 2: Convert to fraction form
    229.40/343.31 = 142.70/x
  3. Step 3: Cross multiply
    229.40x = 343.31 × 142.70
  4. Step 4: Simplify right side
    229.40x = 48,990.34
  5. Step 5: Solve for x
    x = 48,990.34/229.40
  6. Step 6: Final answer
    x = 213.56

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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.