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Finding the Fourth Proportional to 252, 348.36 and 229.23

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Solution

The fourth proportional to 252, 348.36 and 229.23 is: 316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 348.36 = 229.23 : x
  2. Step 2: Convert to fraction form
    252/348.36 = 229.23/x
  3. Step 3: Cross multiply
    252x = 348.36 × 229.23
  4. Step 4: Simplify right side
    252x = 79,854.56
  5. Step 5: Solve for x
    x = 79,854.56/252
  6. Step 6: Final answer
    x = 316.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.