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Finding the Fourth Proportional to 182.96, 272.84 and 178.84

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Solution

The fourth proportional to 182.96, 272.84 and 178.84 is: 266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.96 : 272.84 = 178.84 : x
  2. Step 2: Convert to fraction form
    182.96/272.84 = 178.84/x
  3. Step 3: Cross multiply
    182.96x = 272.84 × 178.84
  4. Step 4: Simplify right side
    182.96x = 48,794.71
  5. Step 5: Solve for x
    x = 48,794.71/182.96
  6. Step 6: Final answer
    x = 266.70

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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.