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Finding the Fourth Proportional to 186.88, 257.89 and 109.25

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Solution

The fourth proportional to 186.88, 257.89 and 109.25 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.88 : 257.89 = 109.25 : x
  2. Step 2: Convert to fraction form
    186.88/257.89 = 109.25/x
  3. Step 3: Cross multiply
    186.88x = 257.89 × 109.25
  4. Step 4: Simplify right side
    186.88x = 28,174.48
  5. Step 5: Solve for x
    x = 28,174.48/186.88
  6. Step 6: Final answer
    x = 150.77

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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.