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Finding the Fourth Proportional to 182.92, 252.42 and 105.31

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Solution

The fourth proportional to 182.92, 252.42 and 105.31 is: 145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.92 : 252.42 = 105.31 : x
  2. Step 2: Convert to fraction form
    182.92/252.42 = 105.31/x
  3. Step 3: Cross multiply
    182.92x = 252.42 × 105.31
  4. Step 4: Simplify right side
    182.92x = 26,582.35
  5. Step 5: Solve for x
    x = 26,582.35/182.92
  6. Step 6: Final answer
    x = 145.32

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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.