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Finding the Fourth Proportional to 377.70, 520.68 and 266.84

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Solution

The fourth proportional to 377.70, 520.68 and 266.84 is: 367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.70 : 520.68 = 266.84 : x
  2. Step 2: Convert to fraction form
    377.70/520.68 = 266.84/x
  3. Step 3: Cross multiply
    377.70x = 520.68 × 266.84
  4. Step 4: Simplify right side
    377.70x = 138,938.25
  5. Step 5: Solve for x
    x = 138,938.25/377.70
  6. Step 6: Final answer
    x = 367.85

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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.