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Finding the Fourth Proportional to 192.83, 287.58 and 183.65

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Solution

The fourth proportional to 192.83, 287.58 and 183.65 is: 273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 287.58 = 183.65 : x
  2. Step 2: Convert to fraction form
    192.83/287.58 = 183.65/x
  3. Step 3: Cross multiply
    192.83x = 287.58 × 183.65
  4. Step 4: Simplify right side
    192.83x = 52,813.15
  5. Step 5: Solve for x
    x = 52,813.15/192.83
  6. Step 6: Final answer
    x = 273.88

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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.