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Finding the Fourth Proportional to 293.12, 440.22 and 263.41

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Solution

The fourth proportional to 293.12, 440.22 and 263.41 is: 395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.12 : 440.22 = 263.41 : x
  2. Step 2: Convert to fraction form
    293.12/440.22 = 263.41/x
  3. Step 3: Cross multiply
    293.12x = 440.22 × 263.41
  4. Step 4: Simplify right side
    293.12x = 115,958.35
  5. Step 5: Solve for x
    x = 115,958.35/293.12
  6. Step 6: Final answer
    x = 395.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.