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Finding the Fourth Proportional to 216.13, 324.08 and 191.48

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Solution

The fourth proportional to 216.13, 324.08 and 191.48 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.13 : 324.08 = 191.48 : x
  2. Step 2: Convert to fraction form
    216.13/324.08 = 191.48/x
  3. Step 3: Cross multiply
    216.13x = 324.08 × 191.48
  4. Step 4: Simplify right side
    216.13x = 62,053.88
  5. Step 5: Solve for x
    x = 62,053.88/216.13
  6. Step 6: Final answer
    x = 287.12

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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.