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Finding the Fourth Proportional to 144.06, 198.32 and 130.20

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Solution

The fourth proportional to 144.06, 198.32 and 130.20 is: 179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 198.32 = 130.20 : x
  2. Step 2: Convert to fraction form
    144.06/198.32 = 130.20/x
  3. Step 3: Cross multiply
    144.06x = 198.32 × 130.20
  4. Step 4: Simplify right side
    144.06x = 25,821.43
  5. Step 5: Solve for x
    x = 25,821.43/144.06
  6. Step 6: Final answer
    x = 179.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.