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Finding the Fourth Proportional to 442.60, 610.78 and 256.09

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Solution

The fourth proportional to 442.60, 610.78 and 256.09 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 610.78 = 256.09 : x
  2. Step 2: Convert to fraction form
    442.60/610.78 = 256.09/x
  3. Step 3: Cross multiply
    442.60x = 610.78 × 256.09
  4. Step 4: Simplify right side
    442.60x = 156,414.65
  5. Step 5: Solve for x
    x = 156,414.65/442.60
  6. Step 6: Final answer
    x = 353.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.