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Finding the Fourth Proportional to 232.78, 321.34 and 150.00

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Solution

The fourth proportional to 232.78, 321.34 and 150.00 is: 207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 321.34 = 150.00 : x
  2. Step 2: Convert to fraction form
    232.78/321.34 = 150.00/x
  3. Step 3: Cross multiply
    232.78x = 321.34 × 150.00
  4. Step 4: Simplify right side
    232.78x = 48,198.64
  5. Step 5: Solve for x
    x = 48,198.64/232.78
  6. Step 6: Final answer
    x = 207.05

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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.