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Finding the Fourth Proportional to 416.42, 574.25 and 274.38

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Solution

The fourth proportional to 416.42, 574.25 and 274.38 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.42 : 574.25 = 274.38 : x
  2. Step 2: Convert to fraction form
    416.42/574.25 = 274.38/x
  3. Step 3: Cross multiply
    416.42x = 574.25 × 274.38
  4. Step 4: Simplify right side
    416.42x = 157,562.72
  5. Step 5: Solve for x
    x = 157,562.72/416.42
  6. Step 6: Final answer
    x = 378.37

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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.