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Finding the Fourth Proportional to 416.78, 574.86 and 269.24

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Solution

The fourth proportional to 416.78, 574.86 and 269.24 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 574.86 = 269.24 : x
  2. Step 2: Convert to fraction form
    416.78/574.86 = 269.24/x
  3. Step 3: Cross multiply
    416.78x = 574.86 × 269.24
  4. Step 4: Simplify right side
    416.78x = 154,775.31
  5. Step 5: Solve for x
    x = 154,775.31/416.78
  6. Step 6: Final answer
    x = 371.36

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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.