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Finding the Fourth Proportional to 254.57, 351.32 and 144.05

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Solution

The fourth proportional to 254.57, 351.32 and 144.05 is: 198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.57 : 351.32 = 144.05 : x
  2. Step 2: Convert to fraction form
    254.57/351.32 = 144.05/x
  3. Step 3: Cross multiply
    254.57x = 351.32 × 144.05
  4. Step 4: Simplify right side
    254.57x = 50,605.17
  5. Step 5: Solve for x
    x = 50,605.17/254.57
  6. Step 6: Final answer
    x = 198.79

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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.