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Finding the Fourth Proportional to 254, 350.82 and 205.22

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Solution

The fourth proportional to 254, 350.82 and 205.22 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 350.82 = 205.22 : x
  2. Step 2: Convert to fraction form
    254/350.82 = 205.22/x
  3. Step 3: Cross multiply
    254x = 350.82 × 205.22
  4. Step 4: Simplify right side
    254x = 71,995.28
  5. Step 5: Solve for x
    x = 71,995.28/254
  6. Step 6: Final answer
    x = 283.45

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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.