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Finding the Fourth Proportional to 208.64, 287.40 and 195.68

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Solution

The fourth proportional to 208.64, 287.40 and 195.68 is: 269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 287.40 = 195.68 : x
  2. Step 2: Convert to fraction form
    208.64/287.40 = 195.68/x
  3. Step 3: Cross multiply
    208.64x = 287.40 × 195.68
  4. Step 4: Simplify right side
    208.64x = 56,238.43
  5. Step 5: Solve for x
    x = 56,238.43/208.64
  6. Step 6: Final answer
    x = 269.55

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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.