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Finding the Fourth Proportional to 186.97, 258.04 and 109.35

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Solution

The fourth proportional to 186.97, 258.04 and 109.35 is: 150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.97 : 258.04 = 109.35 : x
  2. Step 2: Convert to fraction form
    186.97/258.04 = 109.35/x
  3. Step 3: Cross multiply
    186.97x = 258.04 × 109.35
  4. Step 4: Simplify right side
    186.97x = 28,214.84
  5. Step 5: Solve for x
    x = 28,214.84/186.97
  6. Step 6: Final answer
    x = 150.91

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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.