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Finding the Fourth Proportional to 234, 348.88 and 224.88

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Solution

The fourth proportional to 234, 348.88 and 224.88 is: 335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 348.88 = 224.88 : x
  2. Step 2: Convert to fraction form
    234/348.88 = 224.88/x
  3. Step 3: Cross multiply
    234x = 348.88 × 224.88
  4. Step 4: Simplify right side
    234x = 78,456.13
  5. Step 5: Solve for x
    x = 78,456.13/234
  6. Step 6: Final answer
    x = 335.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.