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Finding the Fourth Proportional to 306.42, 422.88 and 201.54

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Solution

The fourth proportional to 306.42, 422.88 and 201.54 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 422.88 = 201.54 : x
  2. Step 2: Convert to fraction form
    306.42/422.88 = 201.54/x
  3. Step 3: Cross multiply
    306.42x = 422.88 × 201.54
  4. Step 4: Simplify right side
    306.42x = 85,227.24
  5. Step 5: Solve for x
    x = 85,227.24/306.42
  6. Step 6: Final answer
    x = 278.14

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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.