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Finding the Fourth Proportional to 292.16, 402.85 and 198.96

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Solution

The fourth proportional to 292.16, 402.85 and 198.96 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.16 : 402.85 = 198.96 : x
  2. Step 2: Convert to fraction form
    292.16/402.85 = 198.96/x
  3. Step 3: Cross multiply
    292.16x = 402.85 × 198.96
  4. Step 4: Simplify right side
    292.16x = 80,151.04
  5. Step 5: Solve for x
    x = 80,151.04/292.16
  6. Step 6: Final answer
    x = 274.34

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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.