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Finding the Fourth Proportional to 199.48, 300.36 and 176.80

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Solution

The fourth proportional to 199.48, 300.36 and 176.80 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.48 : 300.36 = 176.80 : x
  2. Step 2: Convert to fraction form
    199.48/300.36 = 176.80/x
  3. Step 3: Cross multiply
    199.48x = 300.36 × 176.80
  4. Step 4: Simplify right side
    199.48x = 53,103.65
  5. Step 5: Solve for x
    x = 53,103.65/199.48
  6. Step 6: Final answer
    x = 266.21

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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.