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Finding the Fourth Proportional to 254.91, 352.11 and 188.66

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Solution

The fourth proportional to 254.91, 352.11 and 188.66 is: 260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.91 : 352.11 = 188.66 : x
  2. Step 2: Convert to fraction form
    254.91/352.11 = 188.66/x
  3. Step 3: Cross multiply
    254.91x = 352.11 × 188.66
  4. Step 4: Simplify right side
    254.91x = 66,426.37
  5. Step 5: Solve for x
    x = 66,426.37/254.91
  6. Step 6: Final answer
    x = 260.59

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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.