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Finding the Fourth Proportional to 235.74, 322.44 and 231.96

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Solution

The fourth proportional to 235.74, 322.44 and 231.96 is: 317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.74 : 322.44 = 231.96 : x
  2. Step 2: Convert to fraction form
    235.74/322.44 = 231.96/x
  3. Step 3: Cross multiply
    235.74x = 322.44 × 231.96
  4. Step 4: Simplify right side
    235.74x = 74,792.02
  5. Step 5: Solve for x
    x = 74,792.02/235.74
  6. Step 6: Final answer
    x = 317.26

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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.