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Finding the Fourth Proportional to 130.19, 194.93 and 109.68

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Solution

The fourth proportional to 130.19, 194.93 and 109.68 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.19 : 194.93 = 109.68 : x
  2. Step 2: Convert to fraction form
    130.19/194.93 = 109.68/x
  3. Step 3: Cross multiply
    130.19x = 194.93 × 109.68
  4. Step 4: Simplify right side
    130.19x = 21,379.37
  5. Step 5: Solve for x
    x = 21,379.37/130.19
  6. Step 6: Final answer
    x = 164.22

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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.