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Finding the Fourth Proportional to 447.74, 670.90 and 203.99

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Solution

The fourth proportional to 447.74, 670.90 and 203.99 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 670.90 = 203.99 : x
  2. Step 2: Convert to fraction form
    447.74/670.90 = 203.99/x
  3. Step 3: Cross multiply
    447.74x = 670.90 × 203.99
  4. Step 4: Simplify right side
    447.74x = 136,856.89
  5. Step 5: Solve for x
    x = 136,856.89/447.74
  6. Step 6: Final answer
    x = 305.66

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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.