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Finding the Fourth Proportional to 129.82, 193.88 and 116.05

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Solution

The fourth proportional to 129.82, 193.88 and 116.05 is: 173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.82 : 193.88 = 116.05 : x
  2. Step 2: Convert to fraction form
    129.82/193.88 = 116.05/x
  3. Step 3: Cross multiply
    129.82x = 193.88 × 116.05
  4. Step 4: Simplify right side
    129.82x = 22,499.77
  5. Step 5: Solve for x
    x = 22,499.77/129.82
  6. Step 6: Final answer
    x = 173.32

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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.