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Finding the Fourth Proportional to 311.10, 429.12 and 223.62

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Solution

The fourth proportional to 311.10, 429.12 and 223.62 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 429.12 = 223.62 : x
  2. Step 2: Convert to fraction form
    311.10/429.12 = 223.62/x
  3. Step 3: Cross multiply
    311.10x = 429.12 × 223.62
  4. Step 4: Simplify right side
    311.10x = 95,959.81
  5. Step 5: Solve for x
    x = 95,959.81/311.10
  6. Step 6: Final answer
    x = 308.45

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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.