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Finding the Fourth Proportional to 446.84, 670.56 and 273.43

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Solution

The fourth proportional to 446.84, 670.56 and 273.43 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.84 : 670.56 = 273.43 : x
  2. Step 2: Convert to fraction form
    446.84/670.56 = 273.43/x
  3. Step 3: Cross multiply
    446.84x = 670.56 × 273.43
  4. Step 4: Simplify right side
    446.84x = 183,351.22
  5. Step 5: Solve for x
    x = 183,351.22/446.84
  6. Step 6: Final answer
    x = 410.33

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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.