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Finding the Fourth Proportional to 133.13, 183.64 and 100.37

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Solution

The fourth proportional to 133.13, 183.64 and 100.37 is: 138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.13 : 183.64 = 100.37 : x
  2. Step 2: Convert to fraction form
    133.13/183.64 = 100.37/x
  3. Step 3: Cross multiply
    133.13x = 183.64 × 100.37
  4. Step 4: Simplify right side
    133.13x = 18,431.95
  5. Step 5: Solve for x
    x = 18,431.95/133.13
  6. Step 6: Final answer
    x = 138.45

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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.