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Finding the Fourth Proportional to 365.12, 550.37 and 304.66

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Solution

The fourth proportional to 365.12, 550.37 and 304.66 is: 459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.12 : 550.37 = 304.66 : x
  2. Step 2: Convert to fraction form
    365.12/550.37 = 304.66/x
  3. Step 3: Cross multiply
    365.12x = 550.37 × 304.66
  4. Step 4: Simplify right side
    365.12x = 167,675.72
  5. Step 5: Solve for x
    x = 167,675.72/365.12
  6. Step 6: Final answer
    x = 459.23

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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.