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Finding the Fourth Proportional to 265.83, 396.62 and 231.54

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Solution

The fourth proportional to 265.83, 396.62 and 231.54 is: 345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.83 : 396.62 = 231.54 : x
  2. Step 2: Convert to fraction form
    265.83/396.62 = 231.54/x
  3. Step 3: Cross multiply
    265.83x = 396.62 × 231.54
  4. Step 4: Simplify right side
    265.83x = 91,832.24
  5. Step 5: Solve for x
    x = 91,832.24/265.83
  6. Step 6: Final answer
    x = 345.45

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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.