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Finding the Fourth Proportional to 442.90, 611.20 and 256.42

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Solution

The fourth proportional to 442.90, 611.20 and 256.42 is: 353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.90 : 611.20 = 256.42 : x
  2. Step 2: Convert to fraction form
    442.90/611.20 = 256.42/x
  3. Step 3: Cross multiply
    442.90x = 611.20 × 256.42
  4. Step 4: Simplify right side
    442.90x = 156,723.90
  5. Step 5: Solve for x
    x = 156,723.90/442.90
  6. Step 6: Final answer
    x = 353.86

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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.