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Finding the Fourth Proportional to 285.52, 396.61 and 281.11

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Solution

The fourth proportional to 285.52, 396.61 and 281.11 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.52 : 396.61 = 281.11 : x
  2. Step 2: Convert to fraction form
    285.52/396.61 = 281.11/x
  3. Step 3: Cross multiply
    285.52x = 396.61 × 281.11
  4. Step 4: Simplify right side
    285.52x = 111,491.04
  5. Step 5: Solve for x
    x = 111,491.04/285.52
  6. Step 6: Final answer
    x = 390.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.