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Finding the Fourth Proportional to 133.93, 184.77 and 81.48

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Solution

The fourth proportional to 133.93, 184.77 and 81.48 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.93 : 184.77 = 81.48 : x
  2. Step 2: Convert to fraction form
    133.93/184.77 = 81.48/x
  3. Step 3: Cross multiply
    133.93x = 184.77 × 81.48
  4. Step 4: Simplify right side
    133.93x = 15,055.06
  5. Step 5: Solve for x
    x = 15,055.06/133.93
  6. Step 6: Final answer
    x = 112.41

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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.