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Finding the Fourth Proportional to 185.90, 277.32 and 183.47

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Solution

The fourth proportional to 185.90, 277.32 and 183.47 is: 273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.90 : 277.32 = 183.47 : x
  2. Step 2: Convert to fraction form
    185.90/277.32 = 183.47/x
  3. Step 3: Cross multiply
    185.90x = 277.32 × 183.47
  4. Step 4: Simplify right side
    185.90x = 50,879.20
  5. Step 5: Solve for x
    x = 50,879.20/185.90
  6. Step 6: Final answer
    x = 273.70

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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.