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Finding the Fourth Proportional to 550.42, 759.52 and 301.72

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Solution

The fourth proportional to 550.42, 759.52 and 301.72 is: 416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.42 : 759.52 = 301.72 : x
  2. Step 2: Convert to fraction form
    550.42/759.52 = 301.72/x
  3. Step 3: Cross multiply
    550.42x = 759.52 × 301.72
  4. Step 4: Simplify right side
    550.42x = 229,162.37
  5. Step 5: Solve for x
    x = 229,162.37/550.42
  6. Step 6: Final answer
    x = 416.34

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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.