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Finding the Fourth Proportional to 186.78, 257.85 and 113.16

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Solution

The fourth proportional to 186.78, 257.85 and 113.16 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.85 = 113.16 : x
  2. Step 2: Convert to fraction form
    186.78/257.85 = 113.16/x
  3. Step 3: Cross multiply
    186.78x = 257.85 × 113.16
  4. Step 4: Simplify right side
    186.78x = 29,178.31
  5. Step 5: Solve for x
    x = 29,178.31/186.78
  6. Step 6: Final answer
    x = 156.22

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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.