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Finding the Fourth Proportional to 229.12, 342.72 and 142.24

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Solution

The fourth proportional to 229.12, 342.72 and 142.24 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.12 : 342.72 = 142.24 : x
  2. Step 2: Convert to fraction form
    229.12/342.72 = 142.24/x
  3. Step 3: Cross multiply
    229.12x = 342.72 × 142.24
  4. Step 4: Simplify right side
    229.12x = 48,748.49
  5. Step 5: Solve for x
    x = 48,748.49/229.12
  6. Step 6: Final answer
    x = 212.76

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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.