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Finding the Fourth Proportional to 442.92, 611.16 and 256.34

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Solution

The fourth proportional to 442.92, 611.16 and 256.34 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 611.16 = 256.34 : x
  2. Step 2: Convert to fraction form
    442.92/611.16 = 256.34/x
  3. Step 3: Cross multiply
    442.92x = 611.16 × 256.34
  4. Step 4: Simplify right side
    442.92x = 156,664.75
  5. Step 5: Solve for x
    x = 156,664.75/442.92
  6. Step 6: Final answer
    x = 353.71

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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.