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Finding the Fourth Proportional to 279.40, 416.81 and 254.92

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Solution

The fourth proportional to 279.40, 416.81 and 254.92 is: 380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.40 : 416.81 = 254.92 : x
  2. Step 2: Convert to fraction form
    279.40/416.81 = 254.92/x
  3. Step 3: Cross multiply
    279.40x = 416.81 × 254.92
  4. Step 4: Simplify right side
    279.40x = 106,253.21
  5. Step 5: Solve for x
    x = 106,253.21/279.40
  6. Step 6: Final answer
    x = 380.29

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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.