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Finding the Fourth Proportional to 235.36, 323.40 and 212.96

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Solution

The fourth proportional to 235.36, 323.40 and 212.96 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.36 : 323.40 = 212.96 : x
  2. Step 2: Convert to fraction form
    235.36/323.40 = 212.96/x
  3. Step 3: Cross multiply
    235.36x = 323.40 × 212.96
  4. Step 4: Simplify right side
    235.36x = 68,871.26
  5. Step 5: Solve for x
    x = 68,871.26/235.36
  6. Step 6: Final answer
    x = 292.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.