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Finding the Fourth Proportional to 441.80, 661.98 and 233.55

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Solution

The fourth proportional to 441.80, 661.98 and 233.55 is: 349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.80 : 661.98 = 233.55 : x
  2. Step 2: Convert to fraction form
    441.80/661.98 = 233.55/x
  3. Step 3: Cross multiply
    441.80x = 661.98 × 233.55
  4. Step 4: Simplify right side
    441.80x = 154,608.35
  5. Step 5: Solve for x
    x = 154,608.35/441.80
  6. Step 6: Final answer
    x = 349.95

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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.