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Finding the Fourth Proportional to 300.79, 414.70 and 202.33

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Solution

The fourth proportional to 300.79, 414.70 and 202.33 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.79 : 414.70 = 202.33 : x
  2. Step 2: Convert to fraction form
    300.79/414.70 = 202.33/x
  3. Step 3: Cross multiply
    300.79x = 414.70 × 202.33
  4. Step 4: Simplify right side
    300.79x = 83,906.25
  5. Step 5: Solve for x
    x = 83,906.25/300.79
  6. Step 6: Final answer
    x = 278.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.