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Finding the Fourth Proportional to 308.81, 426.26 and 221.74

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Solution

The fourth proportional to 308.81, 426.26 and 221.74 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.81 : 426.26 = 221.74 : x
  2. Step 2: Convert to fraction form
    308.81/426.26 = 221.74/x
  3. Step 3: Cross multiply
    308.81x = 426.26 × 221.74
  4. Step 4: Simplify right side
    308.81x = 94,518.38
  5. Step 5: Solve for x
    x = 94,518.38/308.81
  6. Step 6: Final answer
    x = 306.07

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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.