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Finding the Fourth Proportional to 186.12, 277.21 and 185.20

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Solution

The fourth proportional to 186.12, 277.21 and 185.20 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.12 : 277.21 = 185.20 : x
  2. Step 2: Convert to fraction form
    186.12/277.21 = 185.20/x
  3. Step 3: Cross multiply
    186.12x = 277.21 × 185.20
  4. Step 4: Simplify right side
    186.12x = 51,339.29
  5. Step 5: Solve for x
    x = 51,339.29/186.12
  6. Step 6: Final answer
    x = 275.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.