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Finding the Fourth Proportional to 292.04, 402.85 and 198.78

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Solution

The fourth proportional to 292.04, 402.85 and 198.78 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.04 : 402.85 = 198.78 : x
  2. Step 2: Convert to fraction form
    292.04/402.85 = 198.78/x
  3. Step 3: Cross multiply
    292.04x = 402.85 × 198.78
  4. Step 4: Simplify right side
    292.04x = 80,078.52
  5. Step 5: Solve for x
    x = 80,078.52/292.04
  6. Step 6: Final answer
    x = 274.20

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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.