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Finding the Fourth Proportional to 291.60, 402.26 and 198.35

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Solution

The fourth proportional to 291.60, 402.26 and 198.35 is: 273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 402.26 = 198.35 : x
  2. Step 2: Convert to fraction form
    291.60/402.26 = 198.35/x
  3. Step 3: Cross multiply
    291.60x = 402.26 × 198.35
  4. Step 4: Simplify right side
    291.60x = 79,785.27
  5. Step 5: Solve for x
    x = 79,785.27/291.60
  6. Step 6: Final answer
    x = 273.61

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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.