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Finding the Fourth Proportional to 278.81, 417.86 and 200.78

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Solution

The fourth proportional to 278.81, 417.86 and 200.78 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 417.86 = 200.78 : x
  2. Step 2: Convert to fraction form
    278.81/417.86 = 200.78/x
  3. Step 3: Cross multiply
    278.81x = 417.86 × 200.78
  4. Step 4: Simplify right side
    278.81x = 83,897.16
  5. Step 5: Solve for x
    x = 83,897.16/278.81
  6. Step 6: Final answer
    x = 300.91

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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.