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Finding the Fourth Proportional to 442.47, 610.55 and 255.92

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Solution

The fourth proportional to 442.47, 610.55 and 255.92 is: 353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.47 : 610.55 = 255.92 : x
  2. Step 2: Convert to fraction form
    442.47/610.55 = 255.92/x
  3. Step 3: Cross multiply
    442.47x = 610.55 × 255.92
  4. Step 4: Simplify right side
    442.47x = 156,247.62
  5. Step 5: Solve for x
    x = 156,247.62/442.47
  6. Step 6: Final answer
    x = 353.13

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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.