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Finding the Fourth Proportional to 291.11, 401.78 and 203.72

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Solution

The fourth proportional to 291.11, 401.78 and 203.72 is: 281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.11 : 401.78 = 203.72 : x
  2. Step 2: Convert to fraction form
    291.11/401.78 = 203.72/x
  3. Step 3: Cross multiply
    291.11x = 401.78 × 203.72
  4. Step 4: Simplify right side
    291.11x = 81,847.59
  5. Step 5: Solve for x
    x = 81,847.59/291.11
  6. Step 6: Final answer
    x = 281.16

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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.