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Finding the Fourth Proportional to 409.46, 564.57 and 311.05

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Solution

The fourth proportional to 409.46, 564.57 and 311.05 is: 428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 564.57 = 311.05 : x
  2. Step 2: Convert to fraction form
    409.46/564.57 = 311.05/x
  3. Step 3: Cross multiply
    409.46x = 564.57 × 311.05
  4. Step 4: Simplify right side
    409.46x = 175,609.50
  5. Step 5: Solve for x
    x = 175,609.50/409.46
  6. Step 6: Final answer
    x = 428.88

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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.