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Finding the Fourth Proportional to 259.62, 356.16 and 255.30

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Solution

The fourth proportional to 259.62, 356.16 and 255.30 is: 350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.62 : 356.16 = 255.30 : x
  2. Step 2: Convert to fraction form
    259.62/356.16 = 255.30/x
  3. Step 3: Cross multiply
    259.62x = 356.16 × 255.30
  4. Step 4: Simplify right side
    259.62x = 90,927.65
  5. Step 5: Solve for x
    x = 90,927.65/259.62
  6. Step 6: Final answer
    x = 350.23

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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.