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Finding the Fourth Proportional to 311.85, 465.37 and 277.34

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Solution

The fourth proportional to 311.85, 465.37 and 277.34 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.85 : 465.37 = 277.34 : x
  2. Step 2: Convert to fraction form
    311.85/465.37 = 277.34/x
  3. Step 3: Cross multiply
    311.85x = 465.37 × 277.34
  4. Step 4: Simplify right side
    311.85x = 129,062.70
  5. Step 5: Solve for x
    x = 129,062.70/311.85
  6. Step 6: Final answer
    x = 413.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.