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Finding the Fourth Proportional to 201.92, 301.31 and 180.08

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Solution

The fourth proportional to 201.92, 301.31 and 180.08 is: 268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 301.31 = 180.08 : x
  2. Step 2: Convert to fraction form
    201.92/301.31 = 180.08/x
  3. Step 3: Cross multiply
    201.92x = 301.31 × 180.08
  4. Step 4: Simplify right side
    201.92x = 54,259.19
  5. Step 5: Solve for x
    x = 54,259.19/201.92
  6. Step 6: Final answer
    x = 268.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.