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Finding the Fourth Proportional to 273.30, 376.02 and 213.90

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Solution

The fourth proportional to 273.30, 376.02 and 213.90 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 376.02 = 213.90 : x
  2. Step 2: Convert to fraction form
    273.30/376.02 = 213.90/x
  3. Step 3: Cross multiply
    273.30x = 376.02 × 213.90
  4. Step 4: Simplify right side
    273.30x = 80,430.68
  5. Step 5: Solve for x
    x = 80,430.68/273.30
  6. Step 6: Final answer
    x = 294.29

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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.