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Finding the Fourth Proportional to 133.18, 183.87 and 84.13

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Solution

The fourth proportional to 133.18, 183.87 and 84.13 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.18 : 183.87 = 84.13 : x
  2. Step 2: Convert to fraction form
    133.18/183.87 = 84.13/x
  3. Step 3: Cross multiply
    133.18x = 183.87 × 84.13
  4. Step 4: Simplify right side
    133.18x = 15,467.64
  5. Step 5: Solve for x
    x = 15,467.64/133.18
  6. Step 6: Final answer
    x = 116.15

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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.