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Finding the Fourth Proportional to 134.70, 186 and 120.90

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Solution

The fourth proportional to 134.70, 186 and 120.90 is: 166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 186 = 120.90 : x
  2. Step 2: Convert to fraction form
    134.70/186 = 120.90/x
  3. Step 3: Cross multiply
    134.70x = 186 × 120.90
  4. Step 4: Simplify right side
    134.70x = 22,487.40
  5. Step 5: Solve for x
    x = 22,487.40/134.70
  6. Step 6: Final answer
    x = 166.94

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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.