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Finding the Fourth Proportional to 365.37, 550.76 and 304.91

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Solution

The fourth proportional to 365.37, 550.76 and 304.91 is: 459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.37 : 550.76 = 304.91 : x
  2. Step 2: Convert to fraction form
    365.37/550.76 = 304.91/x
  3. Step 3: Cross multiply
    365.37x = 550.76 × 304.91
  4. Step 4: Simplify right side
    365.37x = 167,927.95
  5. Step 5: Solve for x
    x = 167,927.95/365.37
  6. Step 6: Final answer
    x = 459.61

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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.