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Finding the Fourth Proportional to 550.72, 759.98 and 302.04

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Solution

The fourth proportional to 550.72, 759.98 and 302.04 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 759.98 = 302.04 : x
  2. Step 2: Convert to fraction form
    550.72/759.98 = 302.04/x
  3. Step 3: Cross multiply
    550.72x = 759.98 × 302.04
  4. Step 4: Simplify right side
    550.72x = 229,544.36
  5. Step 5: Solve for x
    x = 229,544.36/550.72
  6. Step 6: Final answer
    x = 416.81

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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.