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Finding the Fourth Proportional to 131.94, 196.47 and 130.49

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Solution

The fourth proportional to 131.94, 196.47 and 130.49 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.94 : 196.47 = 130.49 : x
  2. Step 2: Convert to fraction form
    131.94/196.47 = 130.49/x
  3. Step 3: Cross multiply
    131.94x = 196.47 × 130.49
  4. Step 4: Simplify right side
    131.94x = 25,636.39
  5. Step 5: Solve for x
    x = 25,636.39/131.94
  6. Step 6: Final answer
    x = 194.30

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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.