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Finding the Fourth Proportional to 442.60, 610.76 and 276.86

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Solution

The fourth proportional to 442.60, 610.76 and 276.86 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 610.76 = 276.86 : x
  2. Step 2: Convert to fraction form
    442.60/610.76 = 276.86/x
  3. Step 3: Cross multiply
    442.60x = 610.76 × 276.86
  4. Step 4: Simplify right side
    442.60x = 169,095.01
  5. Step 5: Solve for x
    x = 169,095.01/442.60
  6. Step 6: Final answer
    x = 382.05

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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.