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Finding the Fourth Proportional to 245.75, 337.97 and 201.15

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Solution

The fourth proportional to 245.75, 337.97 and 201.15 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.75 : 337.97 = 201.15 : x
  2. Step 2: Convert to fraction form
    245.75/337.97 = 201.15/x
  3. Step 3: Cross multiply
    245.75x = 337.97 × 201.15
  4. Step 4: Simplify right side
    245.75x = 67,983.17
  5. Step 5: Solve for x
    x = 67,983.17/245.75
  6. Step 6: Final answer
    x = 276.64

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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.