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Finding the Fourth Proportional to 84.48, 127.41 and 72.60

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Solution

The fourth proportional to 84.48, 127.41 and 72.60 is: 109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.48 : 127.41 = 72.60 : x
  2. Step 2: Convert to fraction form
    84.48/127.41 = 72.60/x
  3. Step 3: Cross multiply
    84.48x = 127.41 × 72.60
  4. Step 4: Simplify right side
    84.48x = 9,249.97
  5. Step 5: Solve for x
    x = 9,249.97/84.48
  6. Step 6: Final answer
    x = 109.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.