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Finding the Fourth Proportional to 291.41, 402.25 and 198.63

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Solution

The fourth proportional to 291.41, 402.25 and 198.63 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.41 : 402.25 = 198.63 : x
  2. Step 2: Convert to fraction form
    291.41/402.25 = 198.63/x
  3. Step 3: Cross multiply
    291.41x = 402.25 × 198.63
  4. Step 4: Simplify right side
    291.41x = 79,898.92
  5. Step 5: Solve for x
    x = 79,898.92/291.41
  6. Step 6: Final answer
    x = 274.18

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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.