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Finding the Fourth Proportional to 182.11, 272.95 and 104.92

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Solution

The fourth proportional to 182.11, 272.95 and 104.92 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.11 : 272.95 = 104.92 : x
  2. Step 2: Convert to fraction form
    182.11/272.95 = 104.92/x
  3. Step 3: Cross multiply
    182.11x = 272.95 × 104.92
  4. Step 4: Simplify right side
    182.11x = 28,636.67
  5. Step 5: Solve for x
    x = 28,636.67/182.11
  6. Step 6: Final answer
    x = 157.25

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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.