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Finding the Fourth Proportional to 207.36, 308.80 and 201.92

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Solution

The fourth proportional to 207.36, 308.80 and 201.92 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 308.80 = 201.92 : x
  2. Step 2: Convert to fraction form
    207.36/308.80 = 201.92/x
  3. Step 3: Cross multiply
    207.36x = 308.80 × 201.92
  4. Step 4: Simplify right side
    207.36x = 62,352.90
  5. Step 5: Solve for x
    x = 62,352.90/207.36
  6. Step 6: Final answer
    x = 300.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.