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Finding the Fourth Proportional to 619.99, 929.16 and 272.80

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Solution

The fourth proportional to 619.99, 929.16 and 272.80 is: 408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.99 : 929.16 = 272.80 : x
  2. Step 2: Convert to fraction form
    619.99/929.16 = 272.80/x
  3. Step 3: Cross multiply
    619.99x = 929.16 × 272.80
  4. Step 4: Simplify right side
    619.99x = 253,474.85
  5. Step 5: Solve for x
    x = 253,474.85/619.99
  6. Step 6: Final answer
    x = 408.84

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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.