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Finding the Fourth Proportional to 208.07, 287.26 and 138.23

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Solution

The fourth proportional to 208.07, 287.26 and 138.23 is: 190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.07 : 287.26 = 138.23 : x
  2. Step 2: Convert to fraction form
    208.07/287.26 = 138.23/x
  3. Step 3: Cross multiply
    208.07x = 287.26 × 138.23
  4. Step 4: Simplify right side
    208.07x = 39,706.17
  5. Step 5: Solve for x
    x = 39,706.17/208.07
  6. Step 6: Final answer
    x = 190.83

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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.