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Finding the Fourth Proportional to 619.98, 930.14 and 311.46

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Solution

The fourth proportional to 619.98, 930.14 and 311.46 is: 467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.98 : 930.14 = 311.46 : x
  2. Step 2: Convert to fraction form
    619.98/930.14 = 311.46/x
  3. Step 3: Cross multiply
    619.98x = 930.14 × 311.46
  4. Step 4: Simplify right side
    619.98x = 289,699.85
  5. Step 5: Solve for x
    x = 289,699.85/619.98
  6. Step 6: Final answer
    x = 467.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.