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Finding the Fourth Proportional to 365.74, 550.73 and 263.72

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Solution

The fourth proportional to 365.74, 550.73 and 263.72 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.74 : 550.73 = 263.72 : x
  2. Step 2: Convert to fraction form
    365.74/550.73 = 263.72/x
  3. Step 3: Cross multiply
    365.74x = 550.73 × 263.72
  4. Step 4: Simplify right side
    365.74x = 145,240.55
  5. Step 5: Solve for x
    x = 145,240.55/365.74
  6. Step 6: Final answer
    x = 397.12

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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.