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Finding the Fourth Proportional to 232.49, 347.07 and 215.61

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Solution

The fourth proportional to 232.49, 347.07 and 215.61 is: 321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 347.07 = 215.61 : x
  2. Step 2: Convert to fraction form
    232.49/347.07 = 215.61/x
  3. Step 3: Cross multiply
    232.49x = 347.07 × 215.61
  4. Step 4: Simplify right side
    232.49x = 74,831.76
  5. Step 5: Solve for x
    x = 74,831.76/232.49
  6. Step 6: Final answer
    x = 321.88

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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.