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Finding the Fourth Proportional to 416.26, 574.32 and 283.42

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Solution

The fourth proportional to 416.26, 574.32 and 283.42 is: 391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.26 : 574.32 = 283.42 : x
  2. Step 2: Convert to fraction form
    416.26/574.32 = 283.42/x
  3. Step 3: Cross multiply
    416.26x = 574.32 × 283.42
  4. Step 4: Simplify right side
    416.26x = 162,773.77
  5. Step 5: Solve for x
    x = 162,773.77/416.26
  6. Step 6: Final answer
    x = 391.04

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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.