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Finding the Fourth Proportional to 133.76, 185.66 and 128.48

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Solution

The fourth proportional to 133.76, 185.66 and 128.48 is: 178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.76 : 185.66 = 128.48 : x
  2. Step 2: Convert to fraction form
    133.76/185.66 = 128.48/x
  3. Step 3: Cross multiply
    133.76x = 185.66 × 128.48
  4. Step 4: Simplify right side
    133.76x = 23,853.60
  5. Step 5: Solve for x
    x = 23,853.60/133.76
  6. Step 6: Final answer
    x = 178.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.