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Finding the Fourth Proportional to 235.51, 325.02 and 204.19

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Solution

The fourth proportional to 235.51, 325.02 and 204.19 is: 281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.51 : 325.02 = 204.19 : x
  2. Step 2: Convert to fraction form
    235.51/325.02 = 204.19/x
  3. Step 3: Cross multiply
    235.51x = 325.02 × 204.19
  4. Step 4: Simplify right side
    235.51x = 66,365.83
  5. Step 5: Solve for x
    x = 66,365.83/235.51
  6. Step 6: Final answer
    x = 281.80

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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.