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Finding the Fourth Proportional to 133.48, 183.67 and 102.38

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Solution

The fourth proportional to 133.48, 183.67 and 102.38 is: 140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.48 : 183.67 = 102.38 : x
  2. Step 2: Convert to fraction form
    133.48/183.67 = 102.38/x
  3. Step 3: Cross multiply
    133.48x = 183.67 × 102.38
  4. Step 4: Simplify right side
    133.48x = 18,804.34
  5. Step 5: Solve for x
    x = 18,804.34/133.48
  6. Step 6: Final answer
    x = 140.88

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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.