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Finding the Fourth Proportional to 408.90, 563.28 and 298.08

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Solution

The fourth proportional to 408.90, 563.28 and 298.08 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 563.28 = 298.08 : x
  2. Step 2: Convert to fraction form
    408.90/563.28 = 298.08/x
  3. Step 3: Cross multiply
    408.90x = 563.28 × 298.08
  4. Step 4: Simplify right side
    408.90x = 167,902.50
  5. Step 5: Solve for x
    x = 167,902.50/408.90
  6. Step 6: Final answer
    x = 410.62

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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.