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Finding the Fourth Proportional to 447.44, 616.72 and 336.74

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Solution

The fourth proportional to 447.44, 616.72 and 336.74 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.44 : 616.72 = 336.74 : x
  2. Step 2: Convert to fraction form
    447.44/616.72 = 336.74/x
  3. Step 3: Cross multiply
    447.44x = 616.72 × 336.74
  4. Step 4: Simplify right side
    447.44x = 207,674.29
  5. Step 5: Solve for x
    x = 207,674.29/447.44
  6. Step 6: Final answer
    x = 464.14

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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.