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Finding the Fourth Proportional to 306, 422.10 and 189.60

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Solution

The fourth proportional to 306, 422.10 and 189.60 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 422.10 = 189.60 : x
  2. Step 2: Convert to fraction form
    306/422.10 = 189.60/x
  3. Step 3: Cross multiply
    306x = 422.10 × 189.60
  4. Step 4: Simplify right side
    306x = 80,030.16
  5. Step 5: Solve for x
    x = 80,030.16/306
  6. Step 6: Final answer
    x = 261.54

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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.