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Finding the Fourth Proportional to 285.88, 428.92 and 281.64

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Solution

The fourth proportional to 285.88, 428.92 and 281.64 is: 422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 428.92 = 281.64 : x
  2. Step 2: Convert to fraction form
    285.88/428.92 = 281.64/x
  3. Step 3: Cross multiply
    285.88x = 428.92 × 281.64
  4. Step 4: Simplify right side
    285.88x = 120,801.03
  5. Step 5: Solve for x
    x = 120,801.03/285.88
  6. Step 6: Final answer
    x = 422.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.