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Finding the Fourth Proportional to 442.86, 611.16 and 256.38

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Solution

The fourth proportional to 442.86, 611.16 and 256.38 is: 353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 611.16 = 256.38 : x
  2. Step 2: Convert to fraction form
    442.86/611.16 = 256.38/x
  3. Step 3: Cross multiply
    442.86x = 611.16 × 256.38
  4. Step 4: Simplify right side
    442.86x = 156,689.20
  5. Step 5: Solve for x
    x = 156,689.20/442.86
  6. Step 6: Final answer
    x = 353.81

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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.