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Finding the Fourth Proportional to 234.18, 349.20 and 232.13

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Solution

The fourth proportional to 234.18, 349.20 and 232.13 is: 346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.18 : 349.20 = 232.13 : x
  2. Step 2: Convert to fraction form
    234.18/349.20 = 232.13/x
  3. Step 3: Cross multiply
    234.18x = 349.20 × 232.13
  4. Step 4: Simplify right side
    234.18x = 81,060.67
  5. Step 5: Solve for x
    x = 81,060.67/234.18
  6. Step 6: Final answer
    x = 346.15

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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.