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Finding the Fourth Proportional to 182.64, 272.31 and 180.66

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Solution

The fourth proportional to 182.64, 272.31 and 180.66 is: 269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 272.31 = 180.66 : x
  2. Step 2: Convert to fraction form
    182.64/272.31 = 180.66/x
  3. Step 3: Cross multiply
    182.64x = 272.31 × 180.66
  4. Step 4: Simplify right side
    182.64x = 49,195.52
  5. Step 5: Solve for x
    x = 49,195.52/182.64
  6. Step 6: Final answer
    x = 269.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.