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Finding the Fourth Proportional to 131.15, 195.13 and 130.68

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Solution

The fourth proportional to 131.15, 195.13 and 130.68 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.15 : 195.13 = 130.68 : x
  2. Step 2: Convert to fraction form
    131.15/195.13 = 130.68/x
  3. Step 3: Cross multiply
    131.15x = 195.13 × 130.68
  4. Step 4: Simplify right side
    131.15x = 25,497.96
  5. Step 5: Solve for x
    x = 25,497.96/131.15
  6. Step 6: Final answer
    x = 194.43

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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.