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Finding the Fourth Proportional to 198.37, 299.28 and 186.07

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Solution

The fourth proportional to 198.37, 299.28 and 186.07 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.37 : 299.28 = 186.07 : x
  2. Step 2: Convert to fraction form
    198.37/299.28 = 186.07/x
  3. Step 3: Cross multiply
    198.37x = 299.28 × 186.07
  4. Step 4: Simplify right side
    198.37x = 55,686.08
  5. Step 5: Solve for x
    x = 55,686.08/198.37
  6. Step 6: Final answer
    x = 280.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.