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Finding the Fourth Proportional to 135.31, 187.61 and 130.81

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Solution

The fourth proportional to 135.31, 187.61 and 130.81 is: 181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 187.61 = 130.81 : x
  2. Step 2: Convert to fraction form
    135.31/187.61 = 130.81/x
  3. Step 3: Cross multiply
    135.31x = 187.61 × 130.81
  4. Step 4: Simplify right side
    135.31x = 24,540.61
  5. Step 5: Solve for x
    x = 24,540.61/135.31
  6. Step 6: Final answer
    x = 181.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.