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Finding the Fourth Proportional to 306, 422.58 and 217.68

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Solution

The fourth proportional to 306, 422.58 and 217.68 is: 300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 422.58 = 217.68 : x
  2. Step 2: Convert to fraction form
    306/422.58 = 217.68/x
  3. Step 3: Cross multiply
    306x = 422.58 × 217.68
  4. Step 4: Simplify right side
    306x = 91,987.21
  5. Step 5: Solve for x
    x = 91,987.21/306
  6. Step 6: Final answer
    x = 300.61

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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.