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Finding the Fourth Proportional to 409.10, 564.90 and 310.73

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Solution

The fourth proportional to 409.10, 564.90 and 310.73 is: 429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 564.90 = 310.73 : x
  2. Step 2: Convert to fraction form
    409.10/564.90 = 310.73/x
  3. Step 3: Cross multiply
    409.10x = 564.90 × 310.73
  4. Step 4: Simplify right side
    409.10x = 175,531.38
  5. Step 5: Solve for x
    x = 175,531.38/409.10
  6. Step 6: Final answer
    x = 429.07

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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.