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Finding the Fourth Proportional to 306.35, 422.70 and 189.89

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Solution

The fourth proportional to 306.35, 422.70 and 189.89 is: 262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.35 : 422.70 = 189.89 : x
  2. Step 2: Convert to fraction form
    306.35/422.70 = 189.89/x
  3. Step 3: Cross multiply
    306.35x = 422.70 × 189.89
  4. Step 4: Simplify right side
    306.35x = 80,266.50
  5. Step 5: Solve for x
    x = 80,266.50/306.35
  6. Step 6: Final answer
    x = 262.01

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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.