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Finding the Fourth Proportional to 216.46, 297.90 and 198.98

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Solution

The fourth proportional to 216.46, 297.90 and 198.98 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 297.90 = 198.98 : x
  2. Step 2: Convert to fraction form
    216.46/297.90 = 198.98/x
  3. Step 3: Cross multiply
    216.46x = 297.90 × 198.98
  4. Step 4: Simplify right side
    216.46x = 59,276.14
  5. Step 5: Solve for x
    x = 59,276.14/216.46
  6. Step 6: Final answer
    x = 273.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.