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Finding the Fourth Proportional to 161.76, 223.14 and 128.55

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Solution

The fourth proportional to 161.76, 223.14 and 128.55 is: 177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.76 : 223.14 = 128.55 : x
  2. Step 2: Convert to fraction form
    161.76/223.14 = 128.55/x
  3. Step 3: Cross multiply
    161.76x = 223.14 × 128.55
  4. Step 4: Simplify right side
    161.76x = 28,684.65
  5. Step 5: Solve for x
    x = 28,684.65/161.76
  6. Step 6: Final answer
    x = 177.33

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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.