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Finding the Fourth Proportional to 298.68, 445.44 and 269.52

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Solution

The fourth proportional to 298.68, 445.44 and 269.52 is: 401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 445.44 = 269.52 : x
  2. Step 2: Convert to fraction form
    298.68/445.44 = 269.52/x
  3. Step 3: Cross multiply
    298.68x = 445.44 × 269.52
  4. Step 4: Simplify right side
    298.68x = 120,054.99
  5. Step 5: Solve for x
    x = 120,054.99/298.68
  6. Step 6: Final answer
    x = 401.95

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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.