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Finding the Fourth Proportional to 365.81, 550.86 and 263.81

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Solution

The fourth proportional to 365.81, 550.86 and 263.81 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.81 : 550.86 = 263.81 : x
  2. Step 2: Convert to fraction form
    365.81/550.86 = 263.81/x
  3. Step 3: Cross multiply
    365.81x = 550.86 × 263.81
  4. Step 4: Simplify right side
    365.81x = 145,318.30
  5. Step 5: Solve for x
    x = 145,318.30/365.81
  6. Step 6: Final answer
    x = 397.25

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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.