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Finding the Fourth Proportional to 130.65, 194.96 and 113.51

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Solution

The fourth proportional to 130.65, 194.96 and 113.51 is: 169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.65 : 194.96 = 113.51 : x
  2. Step 2: Convert to fraction form
    130.65/194.96 = 113.51/x
  3. Step 3: Cross multiply
    130.65x = 194.96 × 113.51
  4. Step 4: Simplify right side
    130.65x = 22,128.37
  5. Step 5: Solve for x
    x = 22,128.37/130.65
  6. Step 6: Final answer
    x = 169.37

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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.