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Finding the Fourth Proportional to 208.70, 288.73 and 201.21

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Solution

The fourth proportional to 208.70, 288.73 and 201.21 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.70 : 288.73 = 201.21 : x
  2. Step 2: Convert to fraction form
    208.70/288.73 = 201.21/x
  3. Step 3: Cross multiply
    208.70x = 288.73 × 201.21
  4. Step 4: Simplify right side
    208.70x = 58,095.36
  5. Step 5: Solve for x
    x = 58,095.36/208.70
  6. Step 6: Final answer
    x = 278.37

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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.