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Finding the Fourth Proportional to 250.25, 345.68 and 201.31

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Solution

The fourth proportional to 250.25, 345.68 and 201.31 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.25 : 345.68 = 201.31 : x
  2. Step 2: Convert to fraction form
    250.25/345.68 = 201.31/x
  3. Step 3: Cross multiply
    250.25x = 345.68 × 201.31
  4. Step 4: Simplify right side
    250.25x = 69,587.83
  5. Step 5: Solve for x
    x = 69,587.83/250.25
  6. Step 6: Final answer
    x = 278.08

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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.