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Finding the Fourth Proportional to 298.23, 414.31 and 295.56

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Solution

The fourth proportional to 298.23, 414.31 and 295.56 is: 410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 414.31 = 295.56 : x
  2. Step 2: Convert to fraction form
    298.23/414.31 = 295.56/x
  3. Step 3: Cross multiply
    298.23x = 414.31 × 295.56
  4. Step 4: Simplify right side
    298.23x = 122,453.46
  5. Step 5: Solve for x
    x = 122,453.46/298.23
  6. Step 6: Final answer
    x = 410.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.