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Finding the Fourth Proportional to 133.25, 184.14 and 114.80

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Solution

The fourth proportional to 133.25, 184.14 and 114.80 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.25 : 184.14 = 114.80 : x
  2. Step 2: Convert to fraction form
    133.25/184.14 = 114.80/x
  3. Step 3: Cross multiply
    133.25x = 184.14 × 114.80
  4. Step 4: Simplify right side
    133.25x = 21,138.35
  5. Step 5: Solve for x
    x = 21,138.35/133.25
  6. Step 6: Final answer
    x = 158.64

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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.