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Finding the Fourth Proportional to 202.18, 303.37 and 109.66

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Solution

The fourth proportional to 202.18, 303.37 and 109.66 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.18 : 303.37 = 109.66 : x
  2. Step 2: Convert to fraction form
    202.18/303.37 = 109.66/x
  3. Step 3: Cross multiply
    202.18x = 303.37 × 109.66
  4. Step 4: Simplify right side
    202.18x = 33,267.55
  5. Step 5: Solve for x
    x = 33,267.55/202.18
  6. Step 6: Final answer
    x = 164.54

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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.