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Finding the Fourth Proportional to 208.53, 287.87 and 133.95

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Solution

The fourth proportional to 208.53, 287.87 and 133.95 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 287.87 = 133.95 : x
  2. Step 2: Convert to fraction form
    208.53/287.87 = 133.95/x
  3. Step 3: Cross multiply
    208.53x = 287.87 × 133.95
  4. Step 4: Simplify right side
    208.53x = 38,560.39
  5. Step 5: Solve for x
    x = 38,560.39/208.53
  6. Step 6: Final answer
    x = 184.91

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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.