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Finding the Fourth Proportional to 273.30, 410.34 and 219.06

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Solution

The fourth proportional to 273.30, 410.34 and 219.06 is: 328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 410.34 = 219.06 : x
  2. Step 2: Convert to fraction form
    273.30/410.34 = 219.06/x
  3. Step 3: Cross multiply
    273.30x = 410.34 × 219.06
  4. Step 4: Simplify right side
    273.30x = 89,889.08
  5. Step 5: Solve for x
    x = 89,889.08/273.30
  6. Step 6: Final answer
    x = 328.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.