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Finding the Fourth Proportional to 199.10, 297.99 and 180.65

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Solution

The fourth proportional to 199.10, 297.99 and 180.65 is: 270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.10 : 297.99 = 180.65 : x
  2. Step 2: Convert to fraction form
    199.10/297.99 = 180.65/x
  3. Step 3: Cross multiply
    199.10x = 297.99 × 180.65
  4. Step 4: Simplify right side
    199.10x = 53,830.40
  5. Step 5: Solve for x
    x = 53,830.40/199.10
  6. Step 6: Final answer
    x = 270.38

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Why These Related Problems?

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