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Finding the Fourth Proportional to 199.17, 299.43 and 186.48

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Solution

The fourth proportional to 199.17, 299.43 and 186.48 is: 280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.17 : 299.43 = 186.48 : x
  2. Step 2: Convert to fraction form
    199.17/299.43 = 186.48/x
  3. Step 3: Cross multiply
    199.17x = 299.43 × 186.48
  4. Step 4: Simplify right side
    199.17x = 55,837.71
  5. Step 5: Solve for x
    x = 55,837.71/199.17
  6. Step 6: Final answer
    x = 280.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.