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Finding the Fourth Proportional to 151.20, 208.68 and 92.22

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Solution

The fourth proportional to 151.20, 208.68 and 92.22 is: 127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 208.68 = 92.22 : x
  2. Step 2: Convert to fraction form
    151.20/208.68 = 92.22/x
  3. Step 3: Cross multiply
    151.20x = 208.68 × 92.22
  4. Step 4: Simplify right side
    151.20x = 19,244.47
  5. Step 5: Solve for x
    x = 19,244.47/151.20
  6. Step 6: Final answer
    x = 127.28

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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.