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Finding the Fourth Proportional to 446.69, 617.28 and 335.98

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Solution

The fourth proportional to 446.69, 617.28 and 335.98 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.69 : 617.28 = 335.98 : x
  2. Step 2: Convert to fraction form
    446.69/617.28 = 335.98/x
  3. Step 3: Cross multiply
    446.69x = 617.28 × 335.98
  4. Step 4: Simplify right side
    446.69x = 207,391.66
  5. Step 5: Solve for x
    x = 207,391.66/446.69
  6. Step 6: Final answer
    x = 464.28

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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.