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Finding the Fourth Proportional to 130.41, 196.50 and 108.09

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Solution

The fourth proportional to 130.41, 196.50 and 108.09 is: 162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 196.50 = 108.09 : x
  2. Step 2: Convert to fraction form
    130.41/196.50 = 108.09/x
  3. Step 3: Cross multiply
    130.41x = 196.50 × 108.09
  4. Step 4: Simplify right side
    130.41x = 21,239.69
  5. Step 5: Solve for x
    x = 21,239.69/130.41
  6. Step 6: Final answer
    x = 162.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.