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Finding the Fourth Proportional to 311.59, 430.14 and 221.92

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Solution

The fourth proportional to 311.59, 430.14 and 221.92 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.59 : 430.14 = 221.92 : x
  2. Step 2: Convert to fraction form
    311.59/430.14 = 221.92/x
  3. Step 3: Cross multiply
    311.59x = 430.14 × 221.92
  4. Step 4: Simplify right side
    311.59x = 95,457.47
  5. Step 5: Solve for x
    x = 95,457.47/311.59
  6. Step 6: Final answer
    x = 306.35

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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.