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Finding the Fourth Proportional to 216.52, 326.47 and 198.52

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Solution

The fourth proportional to 216.52, 326.47 and 198.52 is: 299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.52 : 326.47 = 198.52 : x
  2. Step 2: Convert to fraction form
    216.52/326.47 = 198.52/x
  3. Step 3: Cross multiply
    216.52x = 326.47 × 198.52
  4. Step 4: Simplify right side
    216.52x = 64,810.82
  5. Step 5: Solve for x
    x = 64,810.82/216.52
  6. Step 6: Final answer
    x = 299.33

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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.