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Finding the Fourth Proportional to 182.13, 272.71 and 124.21

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Solution

The fourth proportional to 182.13, 272.71 and 124.21 is: 185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.13 : 272.71 = 124.21 : x
  2. Step 2: Convert to fraction form
    182.13/272.71 = 124.21/x
  3. Step 3: Cross multiply
    182.13x = 272.71 × 124.21
  4. Step 4: Simplify right side
    182.13x = 33,873.31
  5. Step 5: Solve for x
    x = 33,873.31/182.13
  6. Step 6: Final answer
    x = 185.98

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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.