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Finding the Fourth Proportional to 182.60, 272.77 and 120.39

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Solution

The fourth proportional to 182.60, 272.77 and 120.39 is: 179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 272.77 = 120.39 : x
  2. Step 2: Convert to fraction form
    182.60/272.77 = 120.39/x
  3. Step 3: Cross multiply
    182.60x = 272.77 × 120.39
  4. Step 4: Simplify right side
    182.60x = 32,838.78
  5. Step 5: Solve for x
    x = 32,838.78/182.60
  6. Step 6: Final answer
    x = 179.84

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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.