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Finding the Fourth Proportional to 300.49, 414.58 and 200.95

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Solution

The fourth proportional to 300.49, 414.58 and 200.95 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.58 = 200.95 : x
  2. Step 2: Convert to fraction form
    300.49/414.58 = 200.95/x
  3. Step 3: Cross multiply
    300.49x = 414.58 × 200.95
  4. Step 4: Simplify right side
    300.49x = 83,308.12
  5. Step 5: Solve for x
    x = 83,308.12/300.49
  6. Step 6: Final answer
    x = 277.24

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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.