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Finding the Fourth Proportional to 133.80, 184.43 and 84.59

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Solution

The fourth proportional to 133.80, 184.43 and 84.59 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.80 : 184.43 = 84.59 : x
  2. Step 2: Convert to fraction form
    133.80/184.43 = 84.59/x
  3. Step 3: Cross multiply
    133.80x = 184.43 × 84.59
  4. Step 4: Simplify right side
    133.80x = 15,601.48
  5. Step 5: Solve for x
    x = 15,601.48/133.80
  6. Step 6: Final answer
    x = 116.60

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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.