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Finding the Fourth Proportional to 130.49, 196.49 and 96.49

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Solution

The fourth proportional to 130.49, 196.49 and 96.49 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.49 : 196.49 = 96.49 : x
  2. Step 2: Convert to fraction form
    130.49/196.49 = 96.49/x
  3. Step 3: Cross multiply
    130.49x = 196.49 × 96.49
  4. Step 4: Simplify right side
    130.49x = 18,958.10
  5. Step 5: Solve for x
    x = 18,958.10/130.49
  6. Step 6: Final answer
    x = 145.29

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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.