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Finding the Fourth Proportional to 129.77, 193.63 and 122

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Solution

The fourth proportional to 129.77, 193.63 and 122 is: 182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.77 : 193.63 = 122 : x
  2. Step 2: Convert to fraction form
    129.77/193.63 = 122/x
  3. Step 3: Cross multiply
    129.77x = 193.63 × 122
  4. Step 4: Simplify right side
    129.77x = 23,622.86
  5. Step 5: Solve for x
    x = 23,622.86/129.77
  6. Step 6: Final answer
    x = 182.04

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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.