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Finding the Fourth Proportional to 291.05, 436.17 and 218.83

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Solution

The fourth proportional to 291.05, 436.17 and 218.83 is: 327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.05 : 436.17 = 218.83 : x
  2. Step 2: Convert to fraction form
    291.05/436.17 = 218.83/x
  3. Step 3: Cross multiply
    291.05x = 436.17 × 218.83
  4. Step 4: Simplify right side
    291.05x = 95,444.90
  5. Step 5: Solve for x
    x = 95,444.90/291.05
  6. Step 6: Final answer
    x = 327.93

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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.