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Finding the Fourth Proportional to 250.86, 345.73 and 201.66

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Solution

The fourth proportional to 250.86, 345.73 and 201.66 is: 277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 345.73 = 201.66 : x
  2. Step 2: Convert to fraction form
    250.86/345.73 = 201.66/x
  3. Step 3: Cross multiply
    250.86x = 345.73 × 201.66
  4. Step 4: Simplify right side
    250.86x = 69,719.91
  5. Step 5: Solve for x
    x = 69,719.91/250.86
  6. Step 6: Final answer
    x = 277.92

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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.