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Finding the Fourth Proportional to 285.98, 428.54 and 141.80

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Solution

The fourth proportional to 285.98, 428.54 and 141.80 is: 212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.98 : 428.54 = 141.80 : x
  2. Step 2: Convert to fraction form
    285.98/428.54 = 141.80/x
  3. Step 3: Cross multiply
    285.98x = 428.54 × 141.80
  4. Step 4: Simplify right side
    285.98x = 60,766.97
  5. Step 5: Solve for x
    x = 60,766.97/285.98
  6. Step 6: Final answer
    x = 212.49

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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.