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Finding the Fourth Proportional to 294.60, 444.55 and 283.88

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Solution

The fourth proportional to 294.60, 444.55 and 283.88 is: 428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 444.55 = 283.88 : x
  2. Step 2: Convert to fraction form
    294.60/444.55 = 283.88/x
  3. Step 3: Cross multiply
    294.60x = 444.55 × 283.88
  4. Step 4: Simplify right side
    294.60x = 126,198.85
  5. Step 5: Solve for x
    x = 126,198.85/294.60
  6. Step 6: Final answer
    x = 428.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.