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Finding the Fourth Proportional to 442.60, 610.88 and 256.23

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Solution

The fourth proportional to 442.60, 610.88 and 256.23 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 610.88 = 256.23 : x
  2. Step 2: Convert to fraction form
    442.60/610.88 = 256.23/x
  3. Step 3: Cross multiply
    442.60x = 610.88 × 256.23
  4. Step 4: Simplify right side
    442.60x = 156,524.50
  5. Step 5: Solve for x
    x = 156,524.50/442.60
  6. Step 6: Final answer
    x = 353.65

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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.