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Finding the Fourth Proportional to 133.69, 184.29 and 106.07

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Solution

The fourth proportional to 133.69, 184.29 and 106.07 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.69 : 184.29 = 106.07 : x
  2. Step 2: Convert to fraction form
    133.69/184.29 = 106.07/x
  3. Step 3: Cross multiply
    133.69x = 184.29 × 106.07
  4. Step 4: Simplify right side
    133.69x = 19,546.98
  5. Step 5: Solve for x
    x = 19,546.98/133.69
  6. Step 6: Final answer
    x = 146.21

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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.