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Finding the Fourth Proportional to 550.96, 760.05 and 329.78

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Solution

The fourth proportional to 550.96, 760.05 and 329.78 is: 454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.96 : 760.05 = 329.78 : x
  2. Step 2: Convert to fraction form
    550.96/760.05 = 329.78/x
  3. Step 3: Cross multiply
    550.96x = 760.05 × 329.78
  4. Step 4: Simplify right side
    550.96x = 250,649.29
  5. Step 5: Solve for x
    x = 250,649.29/550.96
  6. Step 6: Final answer
    x = 454.93

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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.