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Finding the Fourth Proportional to 130.31, 194.60 and 112.08

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Solution

The fourth proportional to 130.31, 194.60 and 112.08 is: 167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 194.60 = 112.08 : x
  2. Step 2: Convert to fraction form
    130.31/194.60 = 112.08/x
  3. Step 3: Cross multiply
    130.31x = 194.60 × 112.08
  4. Step 4: Simplify right side
    130.31x = 21,811.78
  5. Step 5: Solve for x
    x = 21,811.78/130.31
  6. Step 6: Final answer
    x = 167.39

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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.