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Finding the Fourth Proportional to 235.02, 323.94 and 205.86

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Solution

The fourth proportional to 235.02, 323.94 and 205.86 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.02 : 323.94 = 205.86 : x
  2. Step 2: Convert to fraction form
    235.02/323.94 = 205.86/x
  3. Step 3: Cross multiply
    235.02x = 323.94 × 205.86
  4. Step 4: Simplify right side
    235.02x = 66,686.29
  5. Step 5: Solve for x
    x = 66,686.29/235.02
  6. Step 6: Final answer
    x = 283.75

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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.