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Finding the Fourth Proportional to 122.03, 181.65 and 120.21

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Solution

The fourth proportional to 122.03, 181.65 and 120.21 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.03 : 181.65 = 120.21 : x
  2. Step 2: Convert to fraction form
    122.03/181.65 = 120.21/x
  3. Step 3: Cross multiply
    122.03x = 181.65 × 120.21
  4. Step 4: Simplify right side
    122.03x = 21,835.84
  5. Step 5: Solve for x
    x = 21,835.84/122.03
  6. Step 6: Final answer
    x = 178.94

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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.