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Finding the Fourth Proportional to 265.73, 396.69 and 231.14

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Solution

The fourth proportional to 265.73, 396.69 and 231.14 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.73 : 396.69 = 231.14 : x
  2. Step 2: Convert to fraction form
    265.73/396.69 = 231.14/x
  3. Step 3: Cross multiply
    265.73x = 396.69 × 231.14
  4. Step 4: Simplify right side
    265.73x = 91,687.79
  5. Step 5: Solve for x
    x = 91,687.79/265.73
  6. Step 6: Final answer
    x = 345.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.