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Finding the Fourth Proportional to 122.10, 182.80 and 76.31

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Solution

The fourth proportional to 122.10, 182.80 and 76.31 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.10 : 182.80 = 76.31 : x
  2. Step 2: Convert to fraction form
    122.10/182.80 = 76.31/x
  3. Step 3: Cross multiply
    122.10x = 182.80 × 76.31
  4. Step 4: Simplify right side
    122.10x = 13,949.47
  5. Step 5: Solve for x
    x = 13,949.47/122.10
  6. Step 6: Final answer
    x = 114.25

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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.