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Finding the Fourth Proportional to 279.97, 417.94 and 261.61

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Solution

The fourth proportional to 279.97, 417.94 and 261.61 is: 390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.97 : 417.94 = 261.61 : x
  2. Step 2: Convert to fraction form
    279.97/417.94 = 261.61/x
  3. Step 3: Cross multiply
    279.97x = 417.94 × 261.61
  4. Step 4: Simplify right side
    279.97x = 109,337.28
  5. Step 5: Solve for x
    x = 109,337.28/279.97
  6. Step 6: Final answer
    x = 390.53

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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.