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Finding the Fourth Proportional to 133.03, 183.22 and 106.40

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Solution

The fourth proportional to 133.03, 183.22 and 106.40 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 183.22 = 106.40 : x
  2. Step 2: Convert to fraction form
    133.03/183.22 = 106.40/x
  3. Step 3: Cross multiply
    133.03x = 183.22 × 106.40
  4. Step 4: Simplify right side
    133.03x = 19,494.61
  5. Step 5: Solve for x
    x = 19,494.61/133.03
  6. Step 6: Final answer
    x = 146.54

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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.