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Finding the Fourth Proportional to 284.54, 428.50 and 248.90

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Solution

The fourth proportional to 284.54, 428.50 and 248.90 is: 374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 428.50 = 248.90 : x
  2. Step 2: Convert to fraction form
    284.54/428.50 = 248.90/x
  3. Step 3: Cross multiply
    284.54x = 428.50 × 248.90
  4. Step 4: Simplify right side
    284.54x = 106,653.65
  5. Step 5: Solve for x
    x = 106,653.65/284.54
  6. Step 6: Final answer
    x = 374.83

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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.