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Finding the Fourth Proportional to 134.70, 184.21 and 131.10

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Solution

The fourth proportional to 134.70, 184.21 and 131.10 is: 179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 184.21 = 131.10 : x
  2. Step 2: Convert to fraction form
    134.70/184.21 = 131.10/x
  3. Step 3: Cross multiply
    134.70x = 184.21 × 131.10
  4. Step 4: Simplify right side
    134.70x = 24,149.93
  5. Step 5: Solve for x
    x = 24,149.93/134.70
  6. Step 6: Final answer
    x = 179.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.