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Finding the Fourth Proportional to 130.58, 194.94 and 112.30

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Solution

The fourth proportional to 130.58, 194.94 and 112.30 is: 167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.58 : 194.94 = 112.30 : x
  2. Step 2: Convert to fraction form
    130.58/194.94 = 112.30/x
  3. Step 3: Cross multiply
    130.58x = 194.94 × 112.30
  4. Step 4: Simplify right side
    130.58x = 21,891.27
  5. Step 5: Solve for x
    x = 21,891.27/130.58
  6. Step 6: Final answer
    x = 167.65

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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.