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Finding the Fourth Proportional to 344.99, 475.05 and 289.64

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Solution

The fourth proportional to 344.99, 475.05 and 289.64 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.99 : 475.05 = 289.64 : x
  2. Step 2: Convert to fraction form
    344.99/475.05 = 289.64/x
  3. Step 3: Cross multiply
    344.99x = 475.05 × 289.64
  4. Step 4: Simplify right side
    344.99x = 137,589.66
  5. Step 5: Solve for x
    x = 137,589.66/344.99
  6. Step 6: Final answer
    x = 398.83

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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.