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Finding the Fourth Proportional to 122.31, 182.57 and 108.47

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Solution

The fourth proportional to 122.31, 182.57 and 108.47 is: 161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 182.57 = 108.47 : x
  2. Step 2: Convert to fraction form
    122.31/182.57 = 108.47/x
  3. Step 3: Cross multiply
    122.31x = 182.57 × 108.47
  4. Step 4: Simplify right side
    122.31x = 19,803.28
  5. Step 5: Solve for x
    x = 19,803.28/122.31
  6. Step 6: Final answer
    x = 161.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.