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Finding the Fourth Proportional to 122.67, 182.81 and 122.06

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Solution

The fourth proportional to 122.67, 182.81 and 122.06 is: 181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.67 : 182.81 = 122.06 : x
  2. Step 2: Convert to fraction form
    122.67/182.81 = 122.06/x
  3. Step 3: Cross multiply
    122.67x = 182.81 × 122.06
  4. Step 4: Simplify right side
    122.67x = 22,312.26
  5. Step 5: Solve for x
    x = 22,312.26/122.67
  6. Step 6: Final answer
    x = 181.89

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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.