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Finding the Fourth Proportional to 202.34, 303.24 and 166.70

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Solution

The fourth proportional to 202.34, 303.24 and 166.70 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 303.24 = 166.70 : x
  2. Step 2: Convert to fraction form
    202.34/303.24 = 166.70/x
  3. Step 3: Cross multiply
    202.34x = 303.24 × 166.70
  4. Step 4: Simplify right side
    202.34x = 50,550.11
  5. Step 5: Solve for x
    x = 50,550.11/202.34
  6. Step 6: Final answer
    x = 249.83

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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.