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Finding the Fourth Proportional to 208.52, 287.25 and 150.20

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Solution

The fourth proportional to 208.52, 287.25 and 150.20 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 287.25 = 150.20 : x
  2. Step 2: Convert to fraction form
    208.52/287.25 = 150.20/x
  3. Step 3: Cross multiply
    208.52x = 287.25 × 150.20
  4. Step 4: Simplify right side
    208.52x = 43,144.95
  5. Step 5: Solve for x
    x = 43,144.95/208.52
  6. Step 6: Final answer
    x = 206.91

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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.