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Finding the Fourth Proportional to 259.58, 356.30 and 231.34

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Solution

The fourth proportional to 259.58, 356.30 and 231.34 is: 317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.58 : 356.30 = 231.34 : x
  2. Step 2: Convert to fraction form
    259.58/356.30 = 231.34/x
  3. Step 3: Cross multiply
    259.58x = 356.30 × 231.34
  4. Step 4: Simplify right side
    259.58x = 82,426.44
  5. Step 5: Solve for x
    x = 82,426.44/259.58
  6. Step 6: Final answer
    x = 317.54

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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.