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Finding the Fourth Proportional to 133.77, 184.42 and 106.23

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Solution

The fourth proportional to 133.77, 184.42 and 106.23 is: 146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.77 : 184.42 = 106.23 : x
  2. Step 2: Convert to fraction form
    133.77/184.42 = 106.23/x
  3. Step 3: Cross multiply
    133.77x = 184.42 × 106.23
  4. Step 4: Simplify right side
    133.77x = 19,589.75
  5. Step 5: Solve for x
    x = 19,589.75/133.77
  6. Step 6: Final answer
    x = 146.45

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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.