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Finding the Fourth Proportional to 416.32, 574.46 and 229.78

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Solution

The fourth proportional to 416.32, 574.46 and 229.78 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.32 : 574.46 = 229.78 : x
  2. Step 2: Convert to fraction form
    416.32/574.46 = 229.78/x
  3. Step 3: Cross multiply
    416.32x = 574.46 × 229.78
  4. Step 4: Simplify right side
    416.32x = 132,001.14
  5. Step 5: Solve for x
    x = 132,001.14/416.32
  6. Step 6: Final answer
    x = 317.06

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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.