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Finding the Fourth Proportional to 186.93, 258 and 109.32

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Solution

The fourth proportional to 186.93, 258 and 109.32 is: 150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.93 : 258 = 109.32 : x
  2. Step 2: Convert to fraction form
    186.93/258 = 109.32/x
  3. Step 3: Cross multiply
    186.93x = 258 × 109.32
  4. Step 4: Simplify right side
    186.93x = 28,204.56
  5. Step 5: Solve for x
    x = 28,204.56/186.93
  6. Step 6: Final answer
    x = 150.88

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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.