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Finding the Fourth Proportional to 201.40, 303.60 and 180.52

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Solution

The fourth proportional to 201.40, 303.60 and 180.52 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.40 : 303.60 = 180.52 : x
  2. Step 2: Convert to fraction form
    201.40/303.60 = 180.52/x
  3. Step 3: Cross multiply
    201.40x = 303.60 × 180.52
  4. Step 4: Simplify right side
    201.40x = 54,805.87
  5. Step 5: Solve for x
    x = 54,805.87/201.40
  6. Step 6: Final answer
    x = 272.12

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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.