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Finding the Fourth Proportional to 283.28, 387.49 and 279.05

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Solution

The fourth proportional to 283.28, 387.49 and 279.05 is: 381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.28 : 387.49 = 279.05 : x
  2. Step 2: Convert to fraction form
    283.28/387.49 = 279.05/x
  3. Step 3: Cross multiply
    283.28x = 387.49 × 279.05
  4. Step 4: Simplify right side
    283.28x = 108,129.08
  5. Step 5: Solve for x
    x = 108,129.08/283.28
  6. Step 6: Final answer
    x = 381.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.