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Finding the Fourth Proportional to 122.42, 182.45 and 122.23

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Solution

The fourth proportional to 122.42, 182.45 and 122.23 is: 182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 182.45 = 122.23 : x
  2. Step 2: Convert to fraction form
    122.42/182.45 = 122.23/x
  3. Step 3: Cross multiply
    122.42x = 182.45 × 122.23
  4. Step 4: Simplify right side
    122.42x = 22,299.68
  5. Step 5: Solve for x
    x = 22,299.68/122.42
  6. Step 6: Final answer
    x = 182.16

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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.