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Finding the Fourth Proportional to 408.34, 564.15 and 315.46

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Solution

The fourth proportional to 408.34, 564.15 and 315.46 is: 435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.34 : 564.15 = 315.46 : x
  2. Step 2: Convert to fraction form
    408.34/564.15 = 315.46/x
  3. Step 3: Cross multiply
    408.34x = 564.15 × 315.46
  4. Step 4: Simplify right side
    408.34x = 177,966.76
  5. Step 5: Solve for x
    x = 177,966.76/408.34
  6. Step 6: Final answer
    x = 435.83

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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.