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Finding the Fourth Proportional to 232.68, 321.13 and 153.98

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Solution

The fourth proportional to 232.68, 321.13 and 153.98 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 321.13 = 153.98 : x
  2. Step 2: Convert to fraction form
    232.68/321.13 = 153.98/x
  3. Step 3: Cross multiply
    232.68x = 321.13 × 153.98
  4. Step 4: Simplify right side
    232.68x = 49,447.60
  5. Step 5: Solve for x
    x = 49,447.60/232.68
  6. Step 6: Final answer
    x = 212.51

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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.