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Finding the Fourth Proportional to 257.82, 385.93 and 185.66

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Solution

The fourth proportional to 257.82, 385.93 and 185.66 is: 277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.82 : 385.93 = 185.66 : x
  2. Step 2: Convert to fraction form
    257.82/385.93 = 185.66/x
  3. Step 3: Cross multiply
    257.82x = 385.93 × 185.66
  4. Step 4: Simplify right side
    257.82x = 71,651.76
  5. Step 5: Solve for x
    x = 71,651.76/257.82
  6. Step 6: Final answer
    x = 277.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.