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Finding the Fourth Proportional to 408.92, 564.34 and 335.02

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Solution

The fourth proportional to 408.92, 564.34 and 335.02 is: 462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.92 : 564.34 = 335.02 : x
  2. Step 2: Convert to fraction form
    408.92/564.34 = 335.02/x
  3. Step 3: Cross multiply
    408.92x = 564.34 × 335.02
  4. Step 4: Simplify right side
    408.92x = 189,065.19
  5. Step 5: Solve for x
    x = 189,065.19/408.92
  6. Step 6: Final answer
    x = 462.35

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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.