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Finding the Fourth Proportional to 129.34, 192.95 and 120.02

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Solution

The fourth proportional to 129.34, 192.95 and 120.02 is: 179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.34 : 192.95 = 120.02 : x
  2. Step 2: Convert to fraction form
    129.34/192.95 = 120.02/x
  3. Step 3: Cross multiply
    129.34x = 192.95 × 120.02
  4. Step 4: Simplify right side
    129.34x = 23,157.86
  5. Step 5: Solve for x
    x = 23,157.86/129.34
  6. Step 6: Final answer
    x = 179.05

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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.