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Finding the Fourth Proportional to 235.63, 325.77 and 225.43

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Solution

The fourth proportional to 235.63, 325.77 and 225.43 is: 311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.63 : 325.77 = 225.43 : x
  2. Step 2: Convert to fraction form
    235.63/325.77 = 225.43/x
  3. Step 3: Cross multiply
    235.63x = 325.77 × 225.43
  4. Step 4: Simplify right side
    235.63x = 73,438.33
  5. Step 5: Solve for x
    x = 73,438.33/235.63
  6. Step 6: Final answer
    x = 311.67

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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.