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Finding the Fourth Proportional to 161.06, 239.97 and 150.58

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Solution

The fourth proportional to 161.06, 239.97 and 150.58 is: 224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.06 : 239.97 = 150.58 : x
  2. Step 2: Convert to fraction form
    161.06/239.97 = 150.58/x
  3. Step 3: Cross multiply
    161.06x = 239.97 × 150.58
  4. Step 4: Simplify right side
    161.06x = 36,134.68
  5. Step 5: Solve for x
    x = 36,134.68/161.06
  6. Step 6: Final answer
    x = 224.36

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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.