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Finding the Fourth Proportional to 282.27, 389.19 and 266.88

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Solution

The fourth proportional to 282.27, 389.19 and 266.88 is: 367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.27 : 389.19 = 266.88 : x
  2. Step 2: Convert to fraction form
    282.27/389.19 = 266.88/x
  3. Step 3: Cross multiply
    282.27x = 389.19 × 266.88
  4. Step 4: Simplify right side
    282.27x = 103,867.03
  5. Step 5: Solve for x
    x = 103,867.03/282.27
  6. Step 6: Final answer
    x = 367.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.