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Finding the Fourth Proportional to 186.36, 257.28 and 142.56

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Solution

The fourth proportional to 186.36, 257.28 and 142.56 is: 196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.36 : 257.28 = 142.56 : x
  2. Step 2: Convert to fraction form
    186.36/257.28 = 142.56/x
  3. Step 3: Cross multiply
    186.36x = 257.28 × 142.56
  4. Step 4: Simplify right side
    186.36x = 36,677.84
  5. Step 5: Solve for x
    x = 36,677.84/186.36
  6. Step 6: Final answer
    x = 196.81

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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.