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Finding the Fourth Proportional to 179.12, 266.78 and 178.20

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Solution

The fourth proportional to 179.12, 266.78 and 178.20 is: 265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.12 : 266.78 = 178.20 : x
  2. Step 2: Convert to fraction form
    179.12/266.78 = 178.20/x
  3. Step 3: Cross multiply
    179.12x = 266.78 × 178.20
  4. Step 4: Simplify right side
    179.12x = 47,540.20
  5. Step 5: Solve for x
    x = 47,540.20/179.12
  6. Step 6: Final answer
    x = 265.41

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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.