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Finding the Fourth Proportional to 130.49, 195.15 and 116.14

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Solution

The fourth proportional to 130.49, 195.15 and 116.14 is: 173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.49 : 195.15 = 116.14 : x
  2. Step 2: Convert to fraction form
    130.49/195.15 = 116.14/x
  3. Step 3: Cross multiply
    130.49x = 195.15 × 116.14
  4. Step 4: Simplify right side
    130.49x = 22,664.72
  5. Step 5: Solve for x
    x = 22,664.72/130.49
  6. Step 6: Final answer
    x = 173.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.