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Finding the Fourth Proportional to 129.98, 195.68 and 118.64

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Solution

The fourth proportional to 129.98, 195.68 and 118.64 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 195.68 = 118.64 : x
  2. Step 2: Convert to fraction form
    129.98/195.68 = 118.64/x
  3. Step 3: Cross multiply
    129.98x = 195.68 × 118.64
  4. Step 4: Simplify right side
    129.98x = 23,215.48
  5. Step 5: Solve for x
    x = 23,215.48/129.98
  6. Step 6: Final answer
    x = 178.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.