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Finding the Fourth Proportional to 180.47, 271.05 and 112.13

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Solution

The fourth proportional to 180.47, 271.05 and 112.13 is: 168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.47 : 271.05 = 112.13 : x
  2. Step 2: Convert to fraction form
    180.47/271.05 = 112.13/x
  3. Step 3: Cross multiply
    180.47x = 271.05 × 112.13
  4. Step 4: Simplify right side
    180.47x = 30,391.48
  5. Step 5: Solve for x
    x = 30,391.48/180.47
  6. Step 6: Final answer
    x = 168.41

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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.