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Finding the Fourth Proportional to 377.06, 520.11 and 266.33

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Solution

The fourth proportional to 377.06, 520.11 and 266.33 is: 367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 520.11 = 266.33 : x
  2. Step 2: Convert to fraction form
    377.06/520.11 = 266.33/x
  3. Step 3: Cross multiply
    377.06x = 520.11 × 266.33
  4. Step 4: Simplify right side
    377.06x = 138,518.30
  5. Step 5: Solve for x
    x = 138,518.30/377.06
  6. Step 6: Final answer
    x = 367.37

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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.