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Finding the Fourth Proportional to 308.60, 426 and 221.12

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Solution

The fourth proportional to 308.60, 426 and 221.12 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.60 : 426 = 221.12 : x
  2. Step 2: Convert to fraction form
    308.60/426 = 221.12/x
  3. Step 3: Cross multiply
    308.60x = 426 × 221.12
  4. Step 4: Simplify right side
    308.60x = 94,197.12
  5. Step 5: Solve for x
    x = 94,197.12/308.60
  6. Step 6: Final answer
    x = 305.24

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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.