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Finding the Fourth Proportional to 408.19, 563.16 and 260.81

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Solution

The fourth proportional to 408.19, 563.16 and 260.81 is: 359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.19 : 563.16 = 260.81 : x
  2. Step 2: Convert to fraction form
    408.19/563.16 = 260.81/x
  3. Step 3: Cross multiply
    408.19x = 563.16 × 260.81
  4. Step 4: Simplify right side
    408.19x = 146,877.76
  5. Step 5: Solve for x
    x = 146,877.76/408.19
  6. Step 6: Final answer
    x = 359.83

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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.