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Finding the Fourth Proportional to 250.74, 346.32 and 201.54

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Solution

The fourth proportional to 250.74, 346.32 and 201.54 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.74 : 346.32 = 201.54 : x
  2. Step 2: Convert to fraction form
    250.74/346.32 = 201.54/x
  3. Step 3: Cross multiply
    250.74x = 346.32 × 201.54
  4. Step 4: Simplify right side
    250.74x = 69,797.33
  5. Step 5: Solve for x
    x = 69,797.33/250.74
  6. Step 6: Final answer
    x = 278.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.