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Finding the Fourth Proportional to 298.66, 445.88 and 255.34

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Solution

The fourth proportional to 298.66, 445.88 and 255.34 is: 381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.66 : 445.88 = 255.34 : x
  2. Step 2: Convert to fraction form
    298.66/445.88 = 255.34/x
  3. Step 3: Cross multiply
    298.66x = 445.88 × 255.34
  4. Step 4: Simplify right side
    298.66x = 113,851.00
  5. Step 5: Solve for x
    x = 113,851.00/298.66
  6. Step 6: Final answer
    x = 381.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.