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Finding the Fourth Proportional to 298.12, 445.25 and 281.56

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Solution

The fourth proportional to 298.12, 445.25 and 281.56 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 445.25 = 281.56 : x
  2. Step 2: Convert to fraction form
    298.12/445.25 = 281.56/x
  3. Step 3: Cross multiply
    298.12x = 445.25 × 281.56
  4. Step 4: Simplify right side
    298.12x = 125,364.59
  5. Step 5: Solve for x
    x = 125,364.59/298.12
  6. Step 6: Final answer
    x = 420.52

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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.