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Finding the Fourth Proportional to 202.76, 303.82 and 137.79

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Solution

The fourth proportional to 202.76, 303.82 and 137.79 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.76 : 303.82 = 137.79 : x
  2. Step 2: Convert to fraction form
    202.76/303.82 = 137.79/x
  3. Step 3: Cross multiply
    202.76x = 303.82 × 137.79
  4. Step 4: Simplify right side
    202.76x = 41,863.36
  5. Step 5: Solve for x
    x = 41,863.36/202.76
  6. Step 6: Final answer
    x = 206.47

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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.