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Finding the Fourth Proportional to 133.09, 183.55 and 103.53

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Solution

The fourth proportional to 133.09, 183.55 and 103.53 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 183.55 = 103.53 : x
  2. Step 2: Convert to fraction form
    133.09/183.55 = 103.53/x
  3. Step 3: Cross multiply
    133.09x = 183.55 × 103.53
  4. Step 4: Simplify right side
    133.09x = 19,002.93
  5. Step 5: Solve for x
    x = 19,002.93/133.09
  6. Step 6: Final answer
    x = 142.78

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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.