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Finding the Fourth Proportional to 291.98, 402.98 and 198.66

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Solution

The fourth proportional to 291.98, 402.98 and 198.66 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.98 : 402.98 = 198.66 : x
  2. Step 2: Convert to fraction form
    291.98/402.98 = 198.66/x
  3. Step 3: Cross multiply
    291.98x = 402.98 × 198.66
  4. Step 4: Simplify right side
    291.98x = 80,056.50
  5. Step 5: Solve for x
    x = 80,056.50/291.98
  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.