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Finding the Fourth Proportional to 208.54, 287.76 and 138.52

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Solution

The fourth proportional to 208.54, 287.76 and 138.52 is: 191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 287.76 = 138.52 : x
  2. Step 2: Convert to fraction form
    208.54/287.76 = 138.52/x
  3. Step 3: Cross multiply
    208.54x = 287.76 × 138.52
  4. Step 4: Simplify right side
    208.54x = 39,860.52
  5. Step 5: Solve for x
    x = 39,860.52/208.54
  6. Step 6: Final answer
    x = 191.14

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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.