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Finding the Fourth Proportional to 416.32, 574.76 and 288.80

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Solution

The fourth proportional to 416.32, 574.76 and 288.80 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.32 : 574.76 = 288.80 : x
  2. Step 2: Convert to fraction form
    416.32/574.76 = 288.80/x
  3. Step 3: Cross multiply
    416.32x = 574.76 × 288.80
  4. Step 4: Simplify right side
    416.32x = 165,990.69
  5. Step 5: Solve for x
    x = 165,990.69/416.32
  6. Step 6: Final answer
    x = 398.71

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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.