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Finding the Fourth Proportional to 208.53, 287.21 and 195.46

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Solution

The fourth proportional to 208.53, 287.21 and 195.46 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 287.21 = 195.46 : x
  2. Step 2: Convert to fraction form
    208.53/287.21 = 195.46/x
  3. Step 3: Cross multiply
    208.53x = 287.21 × 195.46
  4. Step 4: Simplify right side
    208.53x = 56,137.84
  5. Step 5: Solve for x
    x = 56,137.84/208.53
  6. Step 6: Final answer
    x = 269.21

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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.