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Finding the Fourth Proportional to 449.05, 619.82 and 360.67

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Solution

The fourth proportional to 449.05, 619.82 and 360.67 is: 497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.05 : 619.82 = 360.67 : x
  2. Step 2: Convert to fraction form
    449.05/619.82 = 360.67/x
  3. Step 3: Cross multiply
    449.05x = 619.82 × 360.67
  4. Step 4: Simplify right side
    449.05x = 223,550.48
  5. Step 5: Solve for x
    x = 223,550.48/449.05
  6. Step 6: Final answer
    x = 497.83

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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.