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Finding the Fourth Proportional to 365.54, 550.80 and 301.95

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Solution

The fourth proportional to 365.54, 550.80 and 301.95 is: 454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.54 : 550.80 = 301.95 : x
  2. Step 2: Convert to fraction form
    365.54/550.80 = 301.95/x
  3. Step 3: Cross multiply
    365.54x = 550.80 × 301.95
  4. Step 4: Simplify right side
    365.54x = 166,314.06
  5. Step 5: Solve for x
    x = 166,314.06/365.54
  6. Step 6: Final answer
    x = 454.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.