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Finding the Fourth Proportional to 254.56, 350.56 and 189.24

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Solution

The fourth proportional to 254.56, 350.56 and 189.24 is: 260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 350.56 = 189.24 : x
  2. Step 2: Convert to fraction form
    254.56/350.56 = 189.24/x
  3. Step 3: Cross multiply
    254.56x = 350.56 × 189.24
  4. Step 4: Simplify right side
    254.56x = 66,339.97
  5. Step 5: Solve for x
    x = 66,339.97/254.56
  6. Step 6: Final answer
    x = 260.61

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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.