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Finding the Fourth Proportional to 182.30, 251.56 and 108.64

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Solution

The fourth proportional to 182.30, 251.56 and 108.64 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.30 : 251.56 = 108.64 : x
  2. Step 2: Convert to fraction form
    182.30/251.56 = 108.64/x
  3. Step 3: Cross multiply
    182.30x = 251.56 × 108.64
  4. Step 4: Simplify right side
    182.30x = 27,329.48
  5. Step 5: Solve for x
    x = 27,329.48/182.30
  6. Step 6: Final answer
    x = 149.91

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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.