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Finding the Fourth Proportional to 186.22, 277.45 and 174.44

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Solution

The fourth proportional to 186.22, 277.45 and 174.44 is: 259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 277.45 = 174.44 : x
  2. Step 2: Convert to fraction form
    186.22/277.45 = 174.44/x
  3. Step 3: Cross multiply
    186.22x = 277.45 × 174.44
  4. Step 4: Simplify right side
    186.22x = 48,398.38
  5. Step 5: Solve for x
    x = 48,398.38/186.22
  6. Step 6: Final answer
    x = 259.90

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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.