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Finding the Fourth Proportional to 129.32, 192.64 and 122.48

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Solution

The fourth proportional to 129.32, 192.64 and 122.48 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 192.64 = 122.48 : x
  2. Step 2: Convert to fraction form
    129.32/192.64 = 122.48/x
  3. Step 3: Cross multiply
    129.32x = 192.64 × 122.48
  4. Step 4: Simplify right side
    129.32x = 23,594.55
  5. Step 5: Solve for x
    x = 23,594.55/129.32
  6. Step 6: Final answer
    x = 182.45

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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.