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Finding the Fourth Proportional to 122.02, 182.17 and 114.69

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Solution

The fourth proportional to 122.02, 182.17 and 114.69 is: 171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 182.17 = 114.69 : x
  2. Step 2: Convert to fraction form
    122.02/182.17 = 114.69/x
  3. Step 3: Cross multiply
    122.02x = 182.17 × 114.69
  4. Step 4: Simplify right side
    122.02x = 20,893.08
  5. Step 5: Solve for x
    x = 20,893.08/122.02
  6. Step 6: Final answer
    x = 171.23

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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.