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Finding the Fourth Proportional to 180.69, 271.23 and 167.91

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Solution

The fourth proportional to 180.69, 271.23 and 167.91 is: 252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 271.23 = 167.91 : x
  2. Step 2: Convert to fraction form
    180.69/271.23 = 167.91/x
  3. Step 3: Cross multiply
    180.69x = 271.23 × 167.91
  4. Step 4: Simplify right side
    180.69x = 45,542.23
  5. Step 5: Solve for x
    x = 45,542.23/180.69
  6. Step 6: Final answer
    x = 252.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.