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Finding the Fourth Proportional to 550.02, 758.97 and 301.34

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Solution

The fourth proportional to 550.02, 758.97 and 301.34 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 758.97 = 301.34 : x
  2. Step 2: Convert to fraction form
    550.02/758.97 = 301.34/x
  3. Step 3: Cross multiply
    550.02x = 758.97 × 301.34
  4. Step 4: Simplify right side
    550.02x = 228,708.02
  5. Step 5: Solve for x
    x = 228,708.02/550.02
  6. Step 6: Final answer
    x = 415.82

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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.