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Finding the Fourth Proportional to 301.95, 451.78 and 199.49

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Solution

The fourth proportional to 301.95, 451.78 and 199.49 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.95 : 451.78 = 199.49 : x
  2. Step 2: Convert to fraction form
    301.95/451.78 = 199.49/x
  3. Step 3: Cross multiply
    301.95x = 451.78 × 199.49
  4. Step 4: Simplify right side
    301.95x = 90,122.83
  5. Step 5: Solve for x
    x = 90,122.83/301.95
  6. Step 6: Final answer
    x = 298.47

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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.