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Finding the Fourth Proportional to 182.60, 272.14 and 178.64

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Solution

The fourth proportional to 182.60, 272.14 and 178.64 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 272.14 = 178.64 : x
  2. Step 2: Convert to fraction form
    182.60/272.14 = 178.64/x
  3. Step 3: Cross multiply
    182.60x = 272.14 × 178.64
  4. Step 4: Simplify right side
    182.60x = 48,615.09
  5. Step 5: Solve for x
    x = 48,615.09/182.60
  6. Step 6: Final answer
    x = 266.24

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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.