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Finding the Fourth Proportional to 135.06, 186.31 and 110.20

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Solution

The fourth proportional to 135.06, 186.31 and 110.20 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 186.31 = 110.20 : x
  2. Step 2: Convert to fraction form
    135.06/186.31 = 110.20/x
  3. Step 3: Cross multiply
    135.06x = 186.31 × 110.20
  4. Step 4: Simplify right side
    135.06x = 20,531.36
  5. Step 5: Solve for x
    x = 20,531.36/135.06
  6. Step 6: Final answer
    x = 152.02

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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.