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Finding the Fourth Proportional to 298.88, 446.22 and 252.74

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Solution

The fourth proportional to 298.88, 446.22 and 252.74 is: 377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.88 : 446.22 = 252.74 : x
  2. Step 2: Convert to fraction form
    298.88/446.22 = 252.74/x
  3. Step 3: Cross multiply
    298.88x = 446.22 × 252.74
  4. Step 4: Simplify right side
    298.88x = 112,777.64
  5. Step 5: Solve for x
    x = 112,777.64/298.88
  6. Step 6: Final answer
    x = 377.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.