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Finding the Fourth Proportional to 186.78, 257.75 and 103.89

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Solution

The fourth proportional to 186.78, 257.75 and 103.89 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.75 = 103.89 : x
  2. Step 2: Convert to fraction form
    186.78/257.75 = 103.89/x
  3. Step 3: Cross multiply
    186.78x = 257.75 × 103.89
  4. Step 4: Simplify right side
    186.78x = 26,776.36
  5. Step 5: Solve for x
    x = 26,776.36/186.78
  6. Step 6: Final answer
    x = 143.36

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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.