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Finding the Fourth Proportional to 208.14, 287.18 and 129.46

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Solution

The fourth proportional to 208.14, 287.18 and 129.46 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.14 : 287.18 = 129.46 : x
  2. Step 2: Convert to fraction form
    208.14/287.18 = 129.46/x
  3. Step 3: Cross multiply
    208.14x = 287.18 × 129.46
  4. Step 4: Simplify right side
    208.14x = 37,178.32
  5. Step 5: Solve for x
    x = 37,178.32/208.14
  6. Step 6: Final answer
    x = 178.62

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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.