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Finding the Fourth Proportional to 254.62, 351.36 and 144.08

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Solution

The fourth proportional to 254.62, 351.36 and 144.08 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.62 : 351.36 = 144.08 : x
  2. Step 2: Convert to fraction form
    254.62/351.36 = 144.08/x
  3. Step 3: Cross multiply
    254.62x = 351.36 × 144.08
  4. Step 4: Simplify right side
    254.62x = 50,621.65
  5. Step 5: Solve for x
    x = 50,621.65/254.62
  6. Step 6: Final answer
    x = 198.81

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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.