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Finding the Fourth Proportional to 365.46, 550.33 and 263.45

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Solution

The fourth proportional to 365.46, 550.33 and 263.45 is: 396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.46 : 550.33 = 263.45 : x
  2. Step 2: Convert to fraction form
    365.46/550.33 = 263.45/x
  3. Step 3: Cross multiply
    365.46x = 550.33 × 263.45
  4. Step 4: Simplify right side
    365.46x = 144,980.37
  5. Step 5: Solve for x
    x = 144,980.37/365.46
  6. Step 6: Final answer
    x = 396.71

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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.