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Finding the Fourth Proportional to 292.14, 402.54 and 198.90

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Solution

The fourth proportional to 292.14, 402.54 and 198.90 is: 274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 402.54 = 198.90 : x
  2. Step 2: Convert to fraction form
    292.14/402.54 = 198.90/x
  3. Step 3: Cross multiply
    292.14x = 402.54 × 198.90
  4. Step 4: Simplify right side
    292.14x = 80,065.21
  5. Step 5: Solve for x
    x = 80,065.21/292.14
  6. Step 6: Final answer
    x = 274.06

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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.