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Finding the Fourth Proportional to 180.52, 271.69 and 135.11

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Solution

The fourth proportional to 180.52, 271.69 and 135.11 is: 203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 271.69 = 135.11 : x
  2. Step 2: Convert to fraction form
    180.52/271.69 = 135.11/x
  3. Step 3: Cross multiply
    180.52x = 271.69 × 135.11
  4. Step 4: Simplify right side
    180.52x = 36,708.04
  5. Step 5: Solve for x
    x = 36,708.04/180.52
  6. Step 6: Final answer
    x = 203.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.