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Finding the Fourth Proportional to 208.71, 288 and 193.23

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Solution

The fourth proportional to 208.71, 288 and 193.23 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.71 : 288 = 193.23 : x
  2. Step 2: Convert to fraction form
    208.71/288 = 193.23/x
  3. Step 3: Cross multiply
    208.71x = 288 × 193.23
  4. Step 4: Simplify right side
    208.71x = 55,650.24
  5. Step 5: Solve for x
    x = 55,650.24/208.71
  6. Step 6: Final answer
    x = 266.64

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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.