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Finding the Fourth Proportional to 130.22, 194.98 and 107.50

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Solution

The fourth proportional to 130.22, 194.98 and 107.50 is: 160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.22 : 194.98 = 107.50 : x
  2. Step 2: Convert to fraction form
    130.22/194.98 = 107.50/x
  3. Step 3: Cross multiply
    130.22x = 194.98 × 107.50
  4. Step 4: Simplify right side
    130.22x = 20,959.83
  5. Step 5: Solve for x
    x = 20,959.83/130.22
  6. Step 6: Final answer
    x = 160.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.