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Finding the Fourth Proportional to 144.04, 199.61 and 141.30

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Solution

The fourth proportional to 144.04, 199.61 and 141.30 is: 195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.04 : 199.61 = 141.30 : x
  2. Step 2: Convert to fraction form
    144.04/199.61 = 141.30/x
  3. Step 3: Cross multiply
    144.04x = 199.61 × 141.30
  4. Step 4: Simplify right side
    144.04x = 28,204.88
  5. Step 5: Solve for x
    x = 28,204.88/144.04
  6. Step 6: Final answer
    x = 195.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.