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Finding the Fourth Proportional to 311.43, 469.46 and 268.45

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Solution

The fourth proportional to 311.43, 469.46 and 268.45 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.43 : 469.46 = 268.45 : x
  2. Step 2: Convert to fraction form
    311.43/469.46 = 268.45/x
  3. Step 3: Cross multiply
    311.43x = 469.46 × 268.45
  4. Step 4: Simplify right side
    311.43x = 126,026.91
  5. Step 5: Solve for x
    x = 126,026.91/311.43
  6. Step 6: Final answer
    x = 404.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.