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Finding the Fourth Proportional to 273.30, 409.36 and 207.58

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Solution

The fourth proportional to 273.30, 409.36 and 207.58 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 409.36 = 207.58 : x
  2. Step 2: Convert to fraction form
    273.30/409.36 = 207.58/x
  3. Step 3: Cross multiply
    273.30x = 409.36 × 207.58
  4. Step 4: Simplify right side
    273.30x = 84,974.95
  5. Step 5: Solve for x
    x = 84,974.95/273.30
  6. Step 6: Final answer
    x = 310.92

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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.