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Finding the Fourth Proportional to 131.23, 194.16 and 130.82

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Solution

The fourth proportional to 131.23, 194.16 and 130.82 is: 193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.23 : 194.16 = 130.82 : x
  2. Step 2: Convert to fraction form
    131.23/194.16 = 130.82/x
  3. Step 3: Cross multiply
    131.23x = 194.16 × 130.82
  4. Step 4: Simplify right side
    131.23x = 25,400.50
  5. Step 5: Solve for x
    x = 25,400.50/131.23
  6. Step 6: Final answer
    x = 193.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.