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Finding the Fourth Proportional to 397.45, 596.28 and 166.22

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Solution

The fourth proportional to 397.45, 596.28 and 166.22 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.45 : 596.28 = 166.22 : x
  2. Step 2: Convert to fraction form
    397.45/596.28 = 166.22/x
  3. Step 3: Cross multiply
    397.45x = 596.28 × 166.22
  4. Step 4: Simplify right side
    397.45x = 99,113.54
  5. Step 5: Solve for x
    x = 99,113.54/397.45
  6. Step 6: Final answer
    x = 249.37

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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.