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Finding the Fourth Proportional to 279.97, 418.07 and 265.93

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Solution

The fourth proportional to 279.97, 418.07 and 265.93 is: 397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.97 : 418.07 = 265.93 : x
  2. Step 2: Convert to fraction form
    279.97/418.07 = 265.93/x
  3. Step 3: Cross multiply
    279.97x = 418.07 × 265.93
  4. Step 4: Simplify right side
    279.97x = 111,177.36
  5. Step 5: Solve for x
    x = 111,177.36/279.97
  6. Step 6: Final answer
    x = 397.10

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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.