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Finding the Fourth Proportional to 144.53, 199.29 and 126.08

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Solution

The fourth proportional to 144.53, 199.29 and 126.08 is: 173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.53 : 199.29 = 126.08 : x
  2. Step 2: Convert to fraction form
    144.53/199.29 = 126.08/x
  3. Step 3: Cross multiply
    144.53x = 199.29 × 126.08
  4. Step 4: Simplify right side
    144.53x = 25,126.48
  5. Step 5: Solve for x
    x = 25,126.48/144.53
  6. Step 6: Final answer
    x = 173.85

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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.