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Finding the Fourth Proportional to 291.13, 401.31 and 197.87

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Solution

The fourth proportional to 291.13, 401.31 and 197.87 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.13 : 401.31 = 197.87 : x
  2. Step 2: Convert to fraction form
    291.13/401.31 = 197.87/x
  3. Step 3: Cross multiply
    291.13x = 401.31 × 197.87
  4. Step 4: Simplify right side
    291.13x = 79,405.20
  5. Step 5: Solve for x
    x = 79,405.20/291.13
  6. Step 6: Final answer
    x = 272.75

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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.