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Finding the Fourth Proportional to 135.31, 203.24 and 119.65

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Solution

The fourth proportional to 135.31, 203.24 and 119.65 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 203.24 = 119.65 : x
  2. Step 2: Convert to fraction form
    135.31/203.24 = 119.65/x
  3. Step 3: Cross multiply
    135.31x = 203.24 × 119.65
  4. Step 4: Simplify right side
    135.31x = 24,317.67
  5. Step 5: Solve for x
    x = 24,317.67/135.31
  6. Step 6: Final answer
    x = 179.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.