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Finding the Fourth Proportional to 408.77, 613.16 and 116.24

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Solution

The fourth proportional to 408.77, 613.16 and 116.24 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.77 : 613.16 = 116.24 : x
  2. Step 2: Convert to fraction form
    408.77/613.16 = 116.24/x
  3. Step 3: Cross multiply
    408.77x = 613.16 × 116.24
  4. Step 4: Simplify right side
    408.77x = 71,270.07
  5. Step 5: Solve for x
    x = 71,270.07/408.77
  6. Step 6: Final answer
    x = 174.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.