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Finding the Fourth Proportional to 297.78, 412.69 and 293.23

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Solution

The fourth proportional to 297.78, 412.69 and 293.23 is: 406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 412.69 = 293.23 : x
  2. Step 2: Convert to fraction form
    297.78/412.69 = 293.23/x
  3. Step 3: Cross multiply
    297.78x = 412.69 × 293.23
  4. Step 4: Simplify right side
    297.78x = 121,011.03
  5. Step 5: Solve for x
    x = 121,011.03/297.78
  6. Step 6: Final answer
    x = 406.38

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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.