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Finding the Fourth Proportional to 135.05, 186.48 and 120.31

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Solution

The fourth proportional to 135.05, 186.48 and 120.31 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.05 : 186.48 = 120.31 : x
  2. Step 2: Convert to fraction form
    135.05/186.48 = 120.31/x
  3. Step 3: Cross multiply
    135.05x = 186.48 × 120.31
  4. Step 4: Simplify right side
    135.05x = 22,434.94
  5. Step 5: Solve for x
    x = 22,434.94/135.05
  6. Step 6: Final answer
    x = 166.13

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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.