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Finding the Fourth Proportional to 416.24, 575.17 and 360.80

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Solution

The fourth proportional to 416.24, 575.17 and 360.80 is: 498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.24 : 575.17 = 360.80 : x
  2. Step 2: Convert to fraction form
    416.24/575.17 = 360.80/x
  3. Step 3: Cross multiply
    416.24x = 575.17 × 360.80
  4. Step 4: Simplify right side
    416.24x = 207,517.56
  5. Step 5: Solve for x
    x = 207,517.56/416.24
  6. Step 6: Final answer
    x = 498.56

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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.