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Finding the Fourth Proportional to 254.13, 350.84 and 198.75

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Solution

The fourth proportional to 254.13, 350.84 and 198.75 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.13 : 350.84 = 198.75 : x
  2. Step 2: Convert to fraction form
    254.13/350.84 = 198.75/x
  3. Step 3: Cross multiply
    254.13x = 350.84 × 198.75
  4. Step 4: Simplify right side
    254.13x = 69,728.46
  5. Step 5: Solve for x
    x = 69,728.46/254.13
  6. Step 6: Final answer
    x = 274.38

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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.