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Finding the Fourth Proportional to 182.64, 272.70 and 178.68

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Solution

The fourth proportional to 182.64, 272.70 and 178.68 is: 266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 272.70 = 178.68 : x
  2. Step 2: Convert to fraction form
    182.64/272.70 = 178.68/x
  3. Step 3: Cross multiply
    182.64x = 272.70 × 178.68
  4. Step 4: Simplify right side
    182.64x = 48,726.04
  5. Step 5: Solve for x
    x = 48,726.04/182.64
  6. Step 6: Final answer
    x = 266.79

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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.