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Finding the Fourth Proportional to 293.86, 406.11 and 235.54

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Solution

The fourth proportional to 293.86, 406.11 and 235.54 is: 325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.86 : 406.11 = 235.54 : x
  2. Step 2: Convert to fraction form
    293.86/406.11 = 235.54/x
  3. Step 3: Cross multiply
    293.86x = 406.11 × 235.54
  4. Step 4: Simplify right side
    293.86x = 95,655.15
  5. Step 5: Solve for x
    x = 95,655.15/293.86
  6. Step 6: Final answer
    x = 325.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.