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Finding the Fourth Proportional to 281.85, 388.85 and 281.42

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Solution

The fourth proportional to 281.85, 388.85 and 281.42 is: 388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.85 : 388.85 = 281.42 : x
  2. Step 2: Convert to fraction form
    281.85/388.85 = 281.42/x
  3. Step 3: Cross multiply
    281.85x = 388.85 × 281.42
  4. Step 4: Simplify right side
    281.85x = 109,426.82
  5. Step 5: Solve for x
    x = 109,426.82/281.85
  6. Step 6: Final answer
    x = 388.24

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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.