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Finding the Fourth Proportional to 279.83, 387.80 and 275.91

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Solution

The fourth proportional to 279.83, 387.80 and 275.91 is: 382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.83 : 387.80 = 275.91 : x
  2. Step 2: Convert to fraction form
    279.83/387.80 = 275.91/x
  3. Step 3: Cross multiply
    279.83x = 387.80 × 275.91
  4. Step 4: Simplify right side
    279.83x = 106,996.52
  5. Step 5: Solve for x
    x = 106,996.52/279.83
  6. Step 6: Final answer
    x = 382.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.