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Finding the Fourth Proportional to 254.34, 350.51 and 198.99

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Solution

The fourth proportional to 254.34, 350.51 and 198.99 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 350.51 = 198.99 : x
  2. Step 2: Convert to fraction form
    254.34/350.51 = 198.99/x
  3. Step 3: Cross multiply
    254.34x = 350.51 × 198.99
  4. Step 4: Simplify right side
    254.34x = 69,747.98
  5. Step 5: Solve for x
    x = 69,747.98/254.34
  6. Step 6: Final answer
    x = 274.23

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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.