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Finding the Fourth Proportional to 208.07, 286.74 and 142.46

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Solution

The fourth proportional to 208.07, 286.74 and 142.46 is: 196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.07 : 286.74 = 142.46 : x
  2. Step 2: Convert to fraction form
    208.07/286.74 = 142.46/x
  3. Step 3: Cross multiply
    208.07x = 286.74 × 142.46
  4. Step 4: Simplify right side
    208.07x = 40,848.62
  5. Step 5: Solve for x
    x = 40,848.62/208.07
  6. Step 6: Final answer
    x = 196.32

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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.