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Finding the Fourth Proportional to 257.17, 354.62 and 182.56

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Solution

The fourth proportional to 257.17, 354.62 and 182.56 is: 251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.17 : 354.62 = 182.56 : x
  2. Step 2: Convert to fraction form
    257.17/354.62 = 182.56/x
  3. Step 3: Cross multiply
    257.17x = 354.62 × 182.56
  4. Step 4: Simplify right side
    257.17x = 64,736.74
  5. Step 5: Solve for x
    x = 64,736.74/257.17
  6. Step 6: Final answer
    x = 251.73

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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.