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Finding the Fourth Proportional to 311.76, 465.33 and 287.37

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Solution

The fourth proportional to 311.76, 465.33 and 287.37 is: 428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 465.33 = 287.37 : x
  2. Step 2: Convert to fraction form
    311.76/465.33 = 287.37/x
  3. Step 3: Cross multiply
    311.76x = 465.33 × 287.37
  4. Step 4: Simplify right side
    311.76x = 133,721.88
  5. Step 5: Solve for x
    x = 133,721.88/311.76
  6. Step 6: Final answer
    x = 428.93

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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.