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Finding the Fourth Proportional to 216.83, 297.44 and 198.60

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Solution

The fourth proportional to 216.83, 297.44 and 198.60 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 297.44 = 198.60 : x
  2. Step 2: Convert to fraction form
    216.83/297.44 = 198.60/x
  3. Step 3: Cross multiply
    216.83x = 297.44 × 198.60
  4. Step 4: Simplify right side
    216.83x = 59,070.59
  5. Step 5: Solve for x
    x = 59,070.59/216.83
  6. Step 6: Final answer
    x = 272.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.