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Finding the Fourth Proportional to 198.01, 273.15 and 128.07

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Solution

The fourth proportional to 198.01, 273.15 and 128.07 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 273.15 = 128.07 : x
  2. Step 2: Convert to fraction form
    198.01/273.15 = 128.07/x
  3. Step 3: Cross multiply
    198.01x = 273.15 × 128.07
  4. Step 4: Simplify right side
    198.01x = 34,982.32
  5. Step 5: Solve for x
    x = 34,982.32/198.01
  6. Step 6: Final answer
    x = 176.67

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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.