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Finding the Fourth Proportional to 254.35, 350.97 and 143.82

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Solution

The fourth proportional to 254.35, 350.97 and 143.82 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.35 : 350.97 = 143.82 : x
  2. Step 2: Convert to fraction form
    254.35/350.97 = 143.82/x
  3. Step 3: Cross multiply
    254.35x = 350.97 × 143.82
  4. Step 4: Simplify right side
    254.35x = 50,476.51
  5. Step 5: Solve for x
    x = 50,476.51/254.35
  6. Step 6: Final answer
    x = 198.45

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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.