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Finding the Fourth Proportional to 122.10, 182.36 and 100.31

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Solution

The fourth proportional to 122.10, 182.36 and 100.31 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.10 : 182.36 = 100.31 : x
  2. Step 2: Convert to fraction form
    122.10/182.36 = 100.31/x
  3. Step 3: Cross multiply
    122.10x = 182.36 × 100.31
  4. Step 4: Simplify right side
    122.10x = 18,291.87
  5. Step 5: Solve for x
    x = 18,291.87/122.10
  6. Step 6: Final answer
    x = 149.82

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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.