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Finding the Fourth Proportional to 249.80, 345.30 and 201.16

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Solution

The fourth proportional to 249.80, 345.30 and 201.16 is: 278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.80 : 345.30 = 201.16 : x
  2. Step 2: Convert to fraction form
    249.80/345.30 = 201.16/x
  3. Step 3: Cross multiply
    249.80x = 345.30 × 201.16
  4. Step 4: Simplify right side
    249.80x = 69,460.55
  5. Step 5: Solve for x
    x = 69,460.55/249.80
  6. Step 6: Final answer
    x = 278.06

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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.