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Finding the Fourth Proportional to 161.58, 243.32 and 150.78

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Solution

The fourth proportional to 161.58, 243.32 and 150.78 is: 227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.58 : 243.32 = 150.78 : x
  2. Step 2: Convert to fraction form
    161.58/243.32 = 150.78/x
  3. Step 3: Cross multiply
    161.58x = 243.32 × 150.78
  4. Step 4: Simplify right side
    161.58x = 36,687.79
  5. Step 5: Solve for x
    x = 36,687.79/161.58
  6. Step 6: Final answer
    x = 227.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.