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Finding the Fourth Proportional to 408.19, 563.40 and 250.86

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Solution

The fourth proportional to 408.19, 563.40 and 250.86 is: 346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.19 : 563.40 = 250.86 : x
  2. Step 2: Convert to fraction form
    408.19/563.40 = 250.86/x
  3. Step 3: Cross multiply
    408.19x = 563.40 × 250.86
  4. Step 4: Simplify right side
    408.19x = 141,331.08
  5. Step 5: Solve for x
    x = 141,331.08/408.19
  6. Step 6: Final answer
    x = 346.24

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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.