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Finding the Fourth Proportional to 291.01, 436.11 and 226.08

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Solution

The fourth proportional to 291.01, 436.11 and 226.08 is: 338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.01 : 436.11 = 226.08 : x
  2. Step 2: Convert to fraction form
    291.01/436.11 = 226.08/x
  3. Step 3: Cross multiply
    291.01x = 436.11 × 226.08
  4. Step 4: Simplify right side
    291.01x = 98,594.92
  5. Step 5: Solve for x
    x = 98,594.92/291.01
  6. Step 6: Final answer
    x = 338.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.