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Finding the Fourth Proportional to 130.31, 196.16 and 119.15

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Solution

The fourth proportional to 130.31, 196.16 and 119.15 is: 179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 196.16 = 119.15 : x
  2. Step 2: Convert to fraction form
    130.31/196.16 = 119.15/x
  3. Step 3: Cross multiply
    130.31x = 196.16 × 119.15
  4. Step 4: Simplify right side
    130.31x = 23,370.89
  5. Step 5: Solve for x
    x = 23,370.89/130.31
  6. Step 6: Final answer
    x = 179.36

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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.