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Finding the Fourth Proportional to 291.86, 437.80 and 109.22

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Solution

The fourth proportional to 291.86, 437.80 and 109.22 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.86 : 437.80 = 109.22 : x
  2. Step 2: Convert to fraction form
    291.86/437.80 = 109.22/x
  3. Step 3: Cross multiply
    291.86x = 437.80 × 109.22
  4. Step 4: Simplify right side
    291.86x = 47,816.52
  5. Step 5: Solve for x
    x = 47,816.52/291.86
  6. Step 6: Final answer
    x = 163.83

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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.