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Finding the Fourth Proportional to 199.08, 296.19 and 187.56

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Solution

The fourth proportional to 199.08, 296.19 and 187.56 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.08 : 296.19 = 187.56 : x
  2. Step 2: Convert to fraction form
    199.08/296.19 = 187.56/x
  3. Step 3: Cross multiply
    199.08x = 296.19 × 187.56
  4. Step 4: Simplify right side
    199.08x = 55,553.40
  5. Step 5: Solve for x
    x = 55,553.40/199.08
  6. Step 6: Final answer
    x = 279.05

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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.