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Finding the Fourth Proportional to 186.96, 258.16 and 138.36

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Solution

The fourth proportional to 186.96, 258.16 and 138.36 is: 191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.96 : 258.16 = 138.36 : x
  2. Step 2: Convert to fraction form
    186.96/258.16 = 138.36/x
  3. Step 3: Cross multiply
    186.96x = 258.16 × 138.36
  4. Step 4: Simplify right side
    186.96x = 35,719.02
  5. Step 5: Solve for x
    x = 35,719.02/186.96
  6. Step 6: Final answer
    x = 191.05

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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.