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Finding the Fourth Proportional to 208.03, 286.59 and 145.75

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Solution

The fourth proportional to 208.03, 286.59 and 145.75 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.03 : 286.59 = 145.75 : x
  2. Step 2: Convert to fraction form
    208.03/286.59 = 145.75/x
  3. Step 3: Cross multiply
    208.03x = 286.59 × 145.75
  4. Step 4: Simplify right side
    208.03x = 41,769.78
  5. Step 5: Solve for x
    x = 41,769.78/208.03
  6. Step 6: Final answer
    x = 200.79

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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.