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Finding the Fourth Proportional to 291.69, 402.71 and 221.75

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Solution

The fourth proportional to 291.69, 402.71 and 221.75 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.69 : 402.71 = 221.75 : x
  2. Step 2: Convert to fraction form
    291.69/402.71 = 221.75/x
  3. Step 3: Cross multiply
    291.69x = 402.71 × 221.75
  4. Step 4: Simplify right side
    291.69x = 89,300.94
  5. Step 5: Solve for x
    x = 89,300.94/291.69
  6. Step 6: Final answer
    x = 306.15

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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.