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Finding the Fourth Proportional to 408.87, 561.28 and 376.06

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Solution

The fourth proportional to 408.87, 561.28 and 376.06 is: 516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.87 : 561.28 = 376.06 : x
  2. Step 2: Convert to fraction form
    408.87/561.28 = 376.06/x
  3. Step 3: Cross multiply
    408.87x = 561.28 × 376.06
  4. Step 4: Simplify right side
    408.87x = 211,074.96
  5. Step 5: Solve for x
    x = 211,074.96/408.87
  6. Step 6: Final answer
    x = 516.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.