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Finding the Fourth Proportional to 281.40, 387.72 and 268.44

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Solution

The fourth proportional to 281.40, 387.72 and 268.44 is: 369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 387.72 = 268.44 : x
  2. Step 2: Convert to fraction form
    281.40/387.72 = 268.44/x
  3. Step 3: Cross multiply
    281.40x = 387.72 × 268.44
  4. Step 4: Simplify right side
    281.40x = 104,079.56
  5. Step 5: Solve for x
    x = 104,079.56/281.40
  6. Step 6: Final answer
    x = 369.86

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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.