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Finding the Fourth Proportional to 201.48, 303.83 and 177.80

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Solution

The fourth proportional to 201.48, 303.83 and 177.80 is: 268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.48 : 303.83 = 177.80 : x
  2. Step 2: Convert to fraction form
    201.48/303.83 = 177.80/x
  3. Step 3: Cross multiply
    201.48x = 303.83 × 177.80
  4. Step 4: Simplify right side
    201.48x = 54,020.97
  5. Step 5: Solve for x
    x = 54,020.97/201.48
  6. Step 6: Final answer
    x = 268.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.