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Finding the Fourth Proportional to 446.21, 613.23 and 347.79

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Solution

The fourth proportional to 446.21, 613.23 and 347.79 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.21 : 613.23 = 347.79 : x
  2. Step 2: Convert to fraction form
    446.21/613.23 = 347.79/x
  3. Step 3: Cross multiply
    446.21x = 613.23 × 347.79
  4. Step 4: Simplify right side
    446.21x = 213,278.70
  5. Step 5: Solve for x
    x = 213,278.70/446.21
  6. Step 6: Final answer
    x = 477.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.