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Finding the Fourth Proportional to 216.06, 322.10 and 198.78

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Solution

The fourth proportional to 216.06, 322.10 and 198.78 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.06 : 322.10 = 198.78 : x
  2. Step 2: Convert to fraction form
    216.06/322.10 = 198.78/x
  3. Step 3: Cross multiply
    216.06x = 322.10 × 198.78
  4. Step 4: Simplify right side
    216.06x = 64,026.04
  5. Step 5: Solve for x
    x = 64,026.04/216.06
  6. Step 6: Final answer
    x = 296.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.