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Finding the Fourth Proportional to 397.80, 596.66 and 109.22

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Solution

The fourth proportional to 397.80, 596.66 and 109.22 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 596.66 = 109.22 : x
  2. Step 2: Convert to fraction form
    397.80/596.66 = 109.22/x
  3. Step 3: Cross multiply
    397.80x = 596.66 × 109.22
  4. Step 4: Simplify right side
    397.80x = 65,167.21
  5. Step 5: Solve for x
    x = 65,167.21/397.80
  6. Step 6: Final answer
    x = 163.82

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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.