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Finding the Fourth Proportional to 365.91, 503.83 and 309.66

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Solution

The fourth proportional to 365.91, 503.83 and 309.66 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.91 : 503.83 = 309.66 : x
  2. Step 2: Convert to fraction form
    365.91/503.83 = 309.66/x
  3. Step 3: Cross multiply
    365.91x = 503.83 × 309.66
  4. Step 4: Simplify right side
    365.91x = 156,016.00
  5. Step 5: Solve for x
    x = 156,016.00/365.91
  6. Step 6: Final answer
    x = 426.38

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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.