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Finding the Fourth Proportional to 441.12, 608.67 and 283.80

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Solution

The fourth proportional to 441.12, 608.67 and 283.80 is: 391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 608.67 = 283.80 : x
  2. Step 2: Convert to fraction form
    441.12/608.67 = 283.80/x
  3. Step 3: Cross multiply
    441.12x = 608.67 × 283.80
  4. Step 4: Simplify right side
    441.12x = 172,740.55
  5. Step 5: Solve for x
    x = 172,740.55/441.12
  6. Step 6: Final answer
    x = 391.60

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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.