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Finding the Fourth Proportional to 273.02, 376.57 and 199.36

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Solution

The fourth proportional to 273.02, 376.57 and 199.36 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.02 : 376.57 = 199.36 : x
  2. Step 2: Convert to fraction form
    273.02/376.57 = 199.36/x
  3. Step 3: Cross multiply
    273.02x = 376.57 × 199.36
  4. Step 4: Simplify right side
    273.02x = 75,074.28
  5. Step 5: Solve for x
    x = 75,074.28/273.02
  6. Step 6: Final answer
    x = 274.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.