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Finding the Fourth Proportional to 284.62, 428.53 and 252.31

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Solution

The fourth proportional to 284.62, 428.53 and 252.31 is: 379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.62 : 428.53 = 252.31 : x
  2. Step 2: Convert to fraction form
    284.62/428.53 = 252.31/x
  3. Step 3: Cross multiply
    284.62x = 428.53 × 252.31
  4. Step 4: Simplify right side
    284.62x = 108,122.40
  5. Step 5: Solve for x
    x = 108,122.40/284.62
  6. Step 6: Final answer
    x = 379.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.