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Finding the Fourth Proportional to 449.17, 674.42 and 276.56

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Solution

The fourth proportional to 449.17, 674.42 and 276.56 is: 415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.17 : 674.42 = 276.56 : x
  2. Step 2: Convert to fraction form
    449.17/674.42 = 276.56/x
  3. Step 3: Cross multiply
    449.17x = 674.42 × 276.56
  4. Step 4: Simplify right side
    449.17x = 186,518.82
  5. Step 5: Solve for x
    x = 186,518.82/449.17
  6. Step 6: Final answer
    x = 415.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.