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Finding the Fourth Proportional to 198.30, 273.42 and 151.53

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Solution

The fourth proportional to 198.30, 273.42 and 151.53 is: 208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 273.42 = 151.53 : x
  2. Step 2: Convert to fraction form
    198.30/273.42 = 151.53/x
  3. Step 3: Cross multiply
    198.30x = 273.42 × 151.53
  4. Step 4: Simplify right side
    198.30x = 41,430.57
  5. Step 5: Solve for x
    x = 41,430.57/198.30
  6. Step 6: Final answer
    x = 208.93

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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.