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Finding the Fourth Proportional to 290, 400.36 and 198.16

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Solution

The fourth proportional to 290, 400.36 and 198.16 is: 273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290 : 400.36 = 198.16 : x
  2. Step 2: Convert to fraction form
    290/400.36 = 198.16/x
  3. Step 3: Cross multiply
    290x = 400.36 × 198.16
  4. Step 4: Simplify right side
    290x = 79,335.34
  5. Step 5: Solve for x
    x = 79,335.34/290
  6. Step 6: Final answer
    x = 273.57

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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.