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Finding the Fourth Proportional to 208.74, 288.05 and 115.49

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Solution

The fourth proportional to 208.74, 288.05 and 115.49 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.74 : 288.05 = 115.49 : x
  2. Step 2: Convert to fraction form
    208.74/288.05 = 115.49/x
  3. Step 3: Cross multiply
    208.74x = 288.05 × 115.49
  4. Step 4: Simplify right side
    208.74x = 33,265.31
  5. Step 5: Solve for x
    x = 33,265.31/208.74
  6. Step 6: Final answer
    x = 159.37

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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.