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Finding the Fourth Proportional to 408.59, 564.11 and 315.19

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Solution

The fourth proportional to 408.59, 564.11 and 315.19 is: 435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.59 : 564.11 = 315.19 : x
  2. Step 2: Convert to fraction form
    408.59/564.11 = 315.19/x
  3. Step 3: Cross multiply
    408.59x = 564.11 × 315.19
  4. Step 4: Simplify right side
    408.59x = 177,803.91
  5. Step 5: Solve for x
    x = 177,803.91/408.59
  6. Step 6: Final answer
    x = 435.16

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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.