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Finding the Fourth Proportional to 311.01, 429.18 and 178.23

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Solution

The fourth proportional to 311.01, 429.18 and 178.23 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.01 : 429.18 = 178.23 : x
  2. Step 2: Convert to fraction form
    311.01/429.18 = 178.23/x
  3. Step 3: Cross multiply
    311.01x = 429.18 × 178.23
  4. Step 4: Simplify right side
    311.01x = 76,493.69
  5. Step 5: Solve for x
    x = 76,493.69/311.01
  6. Step 6: Final answer
    x = 245.96

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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.