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Finding the Fourth Proportional to 442.93, 611.18 and 256.44

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Solution

The fourth proportional to 442.93, 611.18 and 256.44 is: 353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.93 : 611.18 = 256.44 : x
  2. Step 2: Convert to fraction form
    442.93/611.18 = 256.44/x
  3. Step 3: Cross multiply
    442.93x = 611.18 × 256.44
  4. Step 4: Simplify right side
    442.93x = 156,730.68
  5. Step 5: Solve for x
    x = 156,730.68/442.93
  6. Step 6: Final answer
    x = 353.85

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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.