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Finding the Fourth Proportional to 200.20, 298.49 and 186.16

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Solution

The fourth proportional to 200.20, 298.49 and 186.16 is: 277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 298.49 = 186.16 : x
  2. Step 2: Convert to fraction form
    200.20/298.49 = 186.16/x
  3. Step 3: Cross multiply
    200.20x = 298.49 × 186.16
  4. Step 4: Simplify right side
    200.20x = 55,566.90
  5. Step 5: Solve for x
    x = 55,566.90/200.20
  6. Step 6: Final answer
    x = 277.56

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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.