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Finding the Fourth Proportional to 186.55, 281.32 and 185.33

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Solution

The fourth proportional to 186.55, 281.32 and 185.33 is: 279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.55 : 281.32 = 185.33 : x
  2. Step 2: Convert to fraction form
    186.55/281.32 = 185.33/x
  3. Step 3: Cross multiply
    186.55x = 281.32 × 185.33
  4. Step 4: Simplify right side
    186.55x = 52,137.28
  5. Step 5: Solve for x
    x = 52,137.28/186.55
  6. Step 6: Final answer
    x = 279.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.