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Finding the Fourth Proportional to 185.86, 277.39 and 165.05

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Solution

The fourth proportional to 185.86, 277.39 and 165.05 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 277.39 = 165.05 : x
  2. Step 2: Convert to fraction form
    185.86/277.39 = 165.05/x
  3. Step 3: Cross multiply
    185.86x = 277.39 × 165.05
  4. Step 4: Simplify right side
    185.86x = 45,783.96
  5. Step 5: Solve for x
    x = 45,783.96/185.86
  6. Step 6: Final answer
    x = 246.34

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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.