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Finding the Fourth Proportional to 377.67, 520.70 and 311.05

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Solution

The fourth proportional to 377.67, 520.70 and 311.05 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.67 : 520.70 = 311.05 : x
  2. Step 2: Convert to fraction form
    377.67/520.70 = 311.05/x
  3. Step 3: Cross multiply
    377.67x = 520.70 × 311.05
  4. Step 4: Simplify right side
    377.67x = 161,963.74
  5. Step 5: Solve for x
    x = 161,963.74/377.67
  6. Step 6: Final answer
    x = 428.85

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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.