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Finding the Fourth Proportional to 144.90, 198.53 and 142.88

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Solution

The fourth proportional to 144.90, 198.53 and 142.88 is: 195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 198.53 = 142.88 : x
  2. Step 2: Convert to fraction form
    144.90/198.53 = 142.88/x
  3. Step 3: Cross multiply
    144.90x = 198.53 × 142.88
  4. Step 4: Simplify right side
    144.90x = 28,364.26
  5. Step 5: Solve for x
    x = 28,364.26/144.90
  6. Step 6: Final answer
    x = 195.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.