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Finding the Fourth Proportional to 225.12, 311.20 and 178.82

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Solution

The fourth proportional to 225.12, 311.20 and 178.82 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 311.20 = 178.82 : x
  2. Step 2: Convert to fraction form
    225.12/311.20 = 178.82/x
  3. Step 3: Cross multiply
    225.12x = 311.20 × 178.82
  4. Step 4: Simplify right side
    225.12x = 55,646.78
  5. Step 5: Solve for x
    x = 55,646.78/225.12
  6. Step 6: Final answer
    x = 247.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.