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Finding the Fourth Proportional to 133.32, 183.90 and 81.48

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Solution

The fourth proportional to 133.32, 183.90 and 81.48 is: 112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.32 : 183.90 = 81.48 : x
  2. Step 2: Convert to fraction form
    133.32/183.90 = 81.48/x
  3. Step 3: Cross multiply
    133.32x = 183.90 × 81.48
  4. Step 4: Simplify right side
    133.32x = 14,984.17
  5. Step 5: Solve for x
    x = 14,984.17/133.32
  6. Step 6: Final answer
    x = 112.39

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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.