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Finding the Fourth Proportional to 285.85, 396.29 and 271.03

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Solution

The fourth proportional to 285.85, 396.29 and 271.03 is: 375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.85 : 396.29 = 271.03 : x
  2. Step 2: Convert to fraction form
    285.85/396.29 = 271.03/x
  3. Step 3: Cross multiply
    285.85x = 396.29 × 271.03
  4. Step 4: Simplify right side
    285.85x = 107,404.13
  5. Step 5: Solve for x
    x = 107,404.13/285.85
  6. Step 6: Final answer
    x = 375.74

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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.