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Finding the Fourth Proportional to 129.78, 178.71 and 118.98

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Solution

The fourth proportional to 129.78, 178.71 and 118.98 is: 163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.78 : 178.71 = 118.98 : x
  2. Step 2: Convert to fraction form
    129.78/178.71 = 118.98/x
  3. Step 3: Cross multiply
    129.78x = 178.71 × 118.98
  4. Step 4: Simplify right side
    129.78x = 21,262.92
  5. Step 5: Solve for x
    x = 21,262.92/129.78
  6. Step 6: Final answer
    x = 163.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.