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Finding the Fourth Proportional to 254.06, 350.61 and 149.15

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Solution

The fourth proportional to 254.06, 350.61 and 149.15 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 350.61 = 149.15 : x
  2. Step 2: Convert to fraction form
    254.06/350.61 = 149.15/x
  3. Step 3: Cross multiply
    254.06x = 350.61 × 149.15
  4. Step 4: Simplify right side
    254.06x = 52,294.82
  5. Step 5: Solve for x
    x = 52,294.82/254.06
  6. Step 6: Final answer
    x = 205.84

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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.