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Finding the Fourth Proportional to 185.80, 277.49 and 165.16

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Solution

The fourth proportional to 185.80, 277.49 and 165.16 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 277.49 = 165.16 : x
  2. Step 2: Convert to fraction form
    185.80/277.49 = 165.16/x
  3. Step 3: Cross multiply
    185.80x = 277.49 × 165.16
  4. Step 4: Simplify right side
    185.80x = 45,830.25
  5. Step 5: Solve for x
    x = 45,830.25/185.80
  6. Step 6: Final answer
    x = 246.66

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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.