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Finding the Fourth Proportional to 292.20, 436.56 and 200.12

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Solution

The fourth proportional to 292.20, 436.56 and 200.12 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 436.56 = 200.12 : x
  2. Step 2: Convert to fraction form
    292.20/436.56 = 200.12/x
  3. Step 3: Cross multiply
    292.20x = 436.56 × 200.12
  4. Step 4: Simplify right side
    292.20x = 87,364.39
  5. Step 5: Solve for x
    x = 87,364.39/292.20
  6. Step 6: Final answer
    x = 298.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.