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Finding the Fourth Proportional to 282.20, 387.80 and 269.52

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Solution

The fourth proportional to 282.20, 387.80 and 269.52 is: 370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.20 : 387.80 = 269.52 : x
  2. Step 2: Convert to fraction form
    282.20/387.80 = 269.52/x
  3. Step 3: Cross multiply
    282.20x = 387.80 × 269.52
  4. Step 4: Simplify right side
    282.20x = 104,519.86
  5. Step 5: Solve for x
    x = 104,519.86/282.20
  6. Step 6: Final answer
    x = 370.38

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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.