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Finding the Fourth Proportional to 135.11, 186.64 and 113.06

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Solution

The fourth proportional to 135.11, 186.64 and 113.06 is: 156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.11 : 186.64 = 113.06 : x
  2. Step 2: Convert to fraction form
    135.11/186.64 = 113.06/x
  3. Step 3: Cross multiply
    135.11x = 186.64 × 113.06
  4. Step 4: Simplify right side
    135.11x = 21,101.70
  5. Step 5: Solve for x
    x = 21,101.70/135.11
  6. Step 6: Final answer
    x = 156.18

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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.