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Finding the Fourth Proportional to 130.25, 194.50 and 107.36

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Solution

The fourth proportional to 130.25, 194.50 and 107.36 is: 160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 194.50 = 107.36 : x
  2. Step 2: Convert to fraction form
    130.25/194.50 = 107.36/x
  3. Step 3: Cross multiply
    130.25x = 194.50 × 107.36
  4. Step 4: Simplify right side
    130.25x = 20,881.52
  5. Step 5: Solve for x
    x = 20,881.52/130.25
  6. Step 6: Final answer
    x = 160.32

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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.