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Finding the Fourth Proportional to 135.29, 185.79 and 113.42

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Solution

The fourth proportional to 135.29, 185.79 and 113.42 is: 155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.29 : 185.79 = 113.42 : x
  2. Step 2: Convert to fraction form
    135.29/185.79 = 113.42/x
  3. Step 3: Cross multiply
    135.29x = 185.79 × 113.42
  4. Step 4: Simplify right side
    135.29x = 21,071.37
  5. Step 5: Solve for x
    x = 21,071.37/135.29
  6. Step 6: Final answer
    x = 155.76

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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.