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Finding the Fourth Proportional to 274.78, 410.16 and 254.75

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Solution

The fourth proportional to 274.78, 410.16 and 254.75 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 410.16 = 254.75 : x
  2. Step 2: Convert to fraction form
    274.78/410.16 = 254.75/x
  3. Step 3: Cross multiply
    274.78x = 410.16 × 254.75
  4. Step 4: Simplify right side
    274.78x = 104,488.26
  5. Step 5: Solve for x
    x = 104,488.26/274.78
  6. Step 6: Final answer
    x = 380.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.