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Finding the Fourth Proportional to 208.54, 287.85 and 201.70

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Solution

The fourth proportional to 208.54, 287.85 and 201.70 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 287.85 = 201.70 : x
  2. Step 2: Convert to fraction form
    208.54/287.85 = 201.70/x
  3. Step 3: Cross multiply
    208.54x = 287.85 × 201.70
  4. Step 4: Simplify right side
    208.54x = 58,059.35
  5. Step 5: Solve for x
    x = 58,059.35/208.54
  6. Step 6: Final answer
    x = 278.41

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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.