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Finding the Fourth Proportional to 259.44, 355.83 and 230.28

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Solution

The fourth proportional to 259.44, 355.83 and 230.28 is: 315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 355.83 = 230.28 : x
  2. Step 2: Convert to fraction form
    259.44/355.83 = 230.28/x
  3. Step 3: Cross multiply
    259.44x = 355.83 × 230.28
  4. Step 4: Simplify right side
    259.44x = 81,940.53
  5. Step 5: Solve for x
    x = 81,940.53/259.44
  6. Step 6: Final answer
    x = 315.84

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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.