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Finding the Fourth Proportional to 408.76, 564.37 and 314.07

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Solution

The fourth proportional to 408.76, 564.37 and 314.07 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.76 : 564.37 = 314.07 : x
  2. Step 2: Convert to fraction form
    408.76/564.37 = 314.07/x
  3. Step 3: Cross multiply
    408.76x = 564.37 × 314.07
  4. Step 4: Simplify right side
    408.76x = 177,252.08
  5. Step 5: Solve for x
    x = 177,252.08/408.76
  6. Step 6: Final answer
    x = 433.64

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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.