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Finding the Fourth Proportional to 122.50, 182.78 and 110.38

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Solution

The fourth proportional to 122.50, 182.78 and 110.38 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 182.78 = 110.38 : x
  2. Step 2: Convert to fraction form
    122.50/182.78 = 110.38/x
  3. Step 3: Cross multiply
    122.50x = 182.78 × 110.38
  4. Step 4: Simplify right side
    122.50x = 20,175.26
  5. Step 5: Solve for x
    x = 20,175.26/122.50
  6. Step 6: Final answer
    x = 164.70

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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.