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Finding the Fourth Proportional to 161.31, 240.34 and 150.83

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Solution

The fourth proportional to 161.31, 240.34 and 150.83 is: 224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 240.34 = 150.83 : x
  2. Step 2: Convert to fraction form
    161.31/240.34 = 150.83/x
  3. Step 3: Cross multiply
    161.31x = 240.34 × 150.83
  4. Step 4: Simplify right side
    161.31x = 36,250.48
  5. Step 5: Solve for x
    x = 36,250.48/161.31
  6. Step 6: Final answer
    x = 224.73

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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.