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Finding the Fourth Proportional to 297.23, 412.92 and 294.56

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Solution

The fourth proportional to 297.23, 412.92 and 294.56 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 412.92 = 294.56 : x
  2. Step 2: Convert to fraction form
    297.23/412.92 = 294.56/x
  3. Step 3: Cross multiply
    297.23x = 412.92 × 294.56
  4. Step 4: Simplify right side
    297.23x = 121,627.65
  5. Step 5: Solve for x
    x = 121,627.65/297.23
  6. Step 6: Final answer
    x = 409.21

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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.