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Finding the Fourth Proportional to 201.36, 303.10 and 182.50

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Solution

The fourth proportional to 201.36, 303.10 and 182.50 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 303.10 = 182.50 : x
  2. Step 2: Convert to fraction form
    201.36/303.10 = 182.50/x
  3. Step 3: Cross multiply
    201.36x = 303.10 × 182.50
  4. Step 4: Simplify right side
    201.36x = 55,314.54
  5. Step 5: Solve for x
    x = 55,314.54/201.36
  6. Step 6: Final answer
    x = 274.70

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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.