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Finding the Fourth Proportional to 285.54, 396.78 and 282.57

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Solution

The fourth proportional to 285.54, 396.78 and 282.57 is: 392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.54 : 396.78 = 282.57 : x
  2. Step 2: Convert to fraction form
    285.54/396.78 = 282.57/x
  3. Step 3: Cross multiply
    285.54x = 396.78 × 282.57
  4. Step 4: Simplify right side
    285.54x = 112,118.12
  5. Step 5: Solve for x
    x = 112,118.12/285.54
  6. Step 6: Final answer
    x = 392.65

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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.