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Finding the Fourth Proportional to 301.79, 450.52 and 280.38

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Solution

The fourth proportional to 301.79, 450.52 and 280.38 is: 418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.79 : 450.52 = 280.38 : x
  2. Step 2: Convert to fraction form
    301.79/450.52 = 280.38/x
  3. Step 3: Cross multiply
    301.79x = 450.52 × 280.38
  4. Step 4: Simplify right side
    301.79x = 126,316.80
  5. Step 5: Solve for x
    x = 126,316.80/301.79
  6. Step 6: Final answer
    x = 418.56

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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.