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Finding the Fourth Proportional to 186.78, 257.59 and 137.78

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Solution

The fourth proportional to 186.78, 257.59 and 137.78 is: 190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.59 = 137.78 : x
  2. Step 2: Convert to fraction form
    186.78/257.59 = 137.78/x
  3. Step 3: Cross multiply
    186.78x = 257.59 × 137.78
  4. Step 4: Simplify right side
    186.78x = 35,490.75
  5. Step 5: Solve for x
    x = 35,490.75/186.78
  6. Step 6: Final answer
    x = 190.01

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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.