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Finding the Fourth Proportional to 278.75, 416.42 and 200.03

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Solution

The fourth proportional to 278.75, 416.42 and 200.03 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 416.42 = 200.03 : x
  2. Step 2: Convert to fraction form
    278.75/416.42 = 200.03/x
  3. Step 3: Cross multiply
    278.75x = 416.42 × 200.03
  4. Step 4: Simplify right side
    278.75x = 83,296.49
  5. Step 5: Solve for x
    x = 83,296.49/278.75
  6. Step 6: Final answer
    x = 298.83

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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.