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Finding the Fourth Proportional to 442.85, 611.15 and 256.33

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Solution

The fourth proportional to 442.85, 611.15 and 256.33 is: 353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.85 : 611.15 = 256.33 : x
  2. Step 2: Convert to fraction form
    442.85/611.15 = 256.33/x
  3. Step 3: Cross multiply
    442.85x = 611.15 × 256.33
  4. Step 4: Simplify right side
    442.85x = 156,653.02
  5. Step 5: Solve for x
    x = 156,653.02/442.85
  6. Step 6: Final answer
    x = 353.74

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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.