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Finding the Fourth Proportional to 208.92, 288.49 and 135.21

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Solution

The fourth proportional to 208.92, 288.49 and 135.21 is: 186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 288.49 = 135.21 : x
  2. Step 2: Convert to fraction form
    208.92/288.49 = 135.21/x
  3. Step 3: Cross multiply
    208.92x = 288.49 × 135.21
  4. Step 4: Simplify right side
    208.92x = 39,006.39
  5. Step 5: Solve for x
    x = 39,006.39/208.92
  6. Step 6: Final answer
    x = 186.70

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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.