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Finding the Fourth Proportional to 306.34, 422.25 and 201.25

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Solution

The fourth proportional to 306.34, 422.25 and 201.25 is: 277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.34 : 422.25 = 201.25 : x
  2. Step 2: Convert to fraction form
    306.34/422.25 = 201.25/x
  3. Step 3: Cross multiply
    306.34x = 422.25 × 201.25
  4. Step 4: Simplify right side
    306.34x = 84,977.81
  5. Step 5: Solve for x
    x = 84,977.81/306.34
  6. Step 6: Final answer
    x = 277.40

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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.