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Finding the Fourth Proportional to 306.35, 422.42 and 271.42

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Solution

The fourth proportional to 306.35, 422.42 and 271.42 is: 374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.35 : 422.42 = 271.42 : x
  2. Step 2: Convert to fraction form
    306.35/422.42 = 271.42/x
  3. Step 3: Cross multiply
    306.35x = 422.42 × 271.42
  4. Step 4: Simplify right side
    306.35x = 114,650.82
  5. Step 5: Solve for x
    x = 114,650.82/306.35
  6. Step 6: Final answer
    x = 374.25

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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.