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Finding the Fourth Proportional to 285.87, 428.58 and 224.85

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Solution

The fourth proportional to 285.87, 428.58 and 224.85 is: 337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.87 : 428.58 = 224.85 : x
  2. Step 2: Convert to fraction form
    285.87/428.58 = 224.85/x
  3. Step 3: Cross multiply
    285.87x = 428.58 × 224.85
  4. Step 4: Simplify right side
    285.87x = 96,366.21
  5. Step 5: Solve for x
    x = 96,366.21/285.87
  6. Step 6: Final answer
    x = 337.10

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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.