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Finding the Fourth Proportional to 161.46, 222.82 and 128.66

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Solution

The fourth proportional to 161.46, 222.82 and 128.66 is: 177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 222.82 = 128.66 : x
  2. Step 2: Convert to fraction form
    161.46/222.82 = 128.66/x
  3. Step 3: Cross multiply
    161.46x = 222.82 × 128.66
  4. Step 4: Simplify right side
    161.46x = 28,668.02
  5. Step 5: Solve for x
    x = 28,668.02/161.46
  6. Step 6: Final answer
    x = 177.55

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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.