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Finding the Fourth Proportional to 208.57, 287.68 and 125.62

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Solution

The fourth proportional to 208.57, 287.68 and 125.62 is: 173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.57 : 287.68 = 125.62 : x
  2. Step 2: Convert to fraction form
    208.57/287.68 = 125.62/x
  3. Step 3: Cross multiply
    208.57x = 287.68 × 125.62
  4. Step 4: Simplify right side
    208.57x = 36,138.36
  5. Step 5: Solve for x
    x = 36,138.36/208.57
  6. Step 6: Final answer
    x = 173.27

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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.