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Finding the Fourth Proportional to 130.50, 194.84 and 116.82

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Solution

The fourth proportional to 130.50, 194.84 and 116.82 is: 174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 194.84 = 116.82 : x
  2. Step 2: Convert to fraction form
    130.50/194.84 = 116.82/x
  3. Step 3: Cross multiply
    130.50x = 194.84 × 116.82
  4. Step 4: Simplify right side
    130.50x = 22,760.62
  5. Step 5: Solve for x
    x = 22,760.62/130.50
  6. Step 6: Final answer
    x = 174.41

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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.