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Finding the Fourth Proportional to 216.51, 324.27 and 199.65

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Solution

The fourth proportional to 216.51, 324.27 and 199.65 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.51 : 324.27 = 199.65 : x
  2. Step 2: Convert to fraction form
    216.51/324.27 = 199.65/x
  3. Step 3: Cross multiply
    216.51x = 324.27 × 199.65
  4. Step 4: Simplify right side
    216.51x = 64,740.51
  5. Step 5: Solve for x
    x = 64,740.51/216.51
  6. Step 6: Final answer
    x = 299.02

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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.