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Finding the Fourth Proportional to 186.56, 257.32 and 142.82

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Solution

The fourth proportional to 186.56, 257.32 and 142.82 is: 196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 257.32 = 142.82 : x
  2. Step 2: Convert to fraction form
    186.56/257.32 = 142.82/x
  3. Step 3: Cross multiply
    186.56x = 257.32 × 142.82
  4. Step 4: Simplify right side
    186.56x = 36,750.44
  5. Step 5: Solve for x
    x = 36,750.44/186.56
  6. Step 6: Final answer
    x = 196.99

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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.