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Finding the Fourth Proportional to 278.81, 418.22 and 201.81

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Solution

The fourth proportional to 278.81, 418.22 and 201.81 is: 302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.81 : 418.22 = 201.81 : x
  2. Step 2: Convert to fraction form
    278.81/418.22 = 201.81/x
  3. Step 3: Cross multiply
    278.81x = 418.22 × 201.81
  4. Step 4: Simplify right side
    278.81x = 84,402.29
  5. Step 5: Solve for x
    x = 84,402.29/278.81
  6. Step 6: Final answer
    x = 302.72

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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.