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Finding the Fourth Proportional to 199.96, 298.55 and 187.65

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Solution

The fourth proportional to 199.96, 298.55 and 187.65 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 298.55 = 187.65 : x
  2. Step 2: Convert to fraction form
    199.96/298.55 = 187.65/x
  3. Step 3: Cross multiply
    199.96x = 298.55 × 187.65
  4. Step 4: Simplify right side
    199.96x = 56,021.97
  5. Step 5: Solve for x
    x = 56,021.97/199.96
  6. Step 6: Final answer
    x = 280.17

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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.