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Finding the Fourth Proportional to 182.08, 272.31 and 135.91

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Solution

The fourth proportional to 182.08, 272.31 and 135.91 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.08 : 272.31 = 135.91 : x
  2. Step 2: Convert to fraction form
    182.08/272.31 = 135.91/x
  3. Step 3: Cross multiply
    182.08x = 272.31 × 135.91
  4. Step 4: Simplify right side
    182.08x = 37,009.65
  5. Step 5: Solve for x
    x = 37,009.65/182.08
  6. Step 6: Final answer
    x = 203.26

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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.