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Finding the Fourth Proportional to 199.04, 273.15 and 180.58

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Solution

The fourth proportional to 199.04, 273.15 and 180.58 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.04 : 273.15 = 180.58 : x
  2. Step 2: Convert to fraction form
    199.04/273.15 = 180.58/x
  3. Step 3: Cross multiply
    199.04x = 273.15 × 180.58
  4. Step 4: Simplify right side
    199.04x = 49,325.43
  5. Step 5: Solve for x
    x = 49,325.43/199.04
  6. Step 6: Final answer
    x = 247.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.