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Finding the Fourth Proportional to 129.36, 193.25 and 98.84

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Solution

The fourth proportional to 129.36, 193.25 and 98.84 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.36 : 193.25 = 98.84 : x
  2. Step 2: Convert to fraction form
    129.36/193.25 = 98.84/x
  3. Step 3: Cross multiply
    129.36x = 193.25 × 98.84
  4. Step 4: Simplify right side
    129.36x = 19,100.83
  5. Step 5: Solve for x
    x = 19,100.83/129.36
  6. Step 6: Final answer
    x = 147.66

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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.