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Finding the Fourth Proportional to 298.38, 444.51 and 279.75

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Solution

The fourth proportional to 298.38, 444.51 and 279.75 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.38 : 444.51 = 279.75 : x
  2. Step 2: Convert to fraction form
    298.38/444.51 = 279.75/x
  3. Step 3: Cross multiply
    298.38x = 444.51 × 279.75
  4. Step 4: Simplify right side
    298.38x = 124,351.67
  5. Step 5: Solve for x
    x = 124,351.67/298.38
  6. Step 6: Final answer
    x = 416.76

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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.