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Finding the Fourth Proportional to 408.99, 610.78 and 359.31

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Solution

The fourth proportional to 408.99, 610.78 and 359.31 is: 536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.99 : 610.78 = 359.31 : x
  2. Step 2: Convert to fraction form
    408.99/610.78 = 359.31/x
  3. Step 3: Cross multiply
    408.99x = 610.78 × 359.31
  4. Step 4: Simplify right side
    408.99x = 219,458.46
  5. Step 5: Solve for x
    x = 219,458.46/408.99
  6. Step 6: Final answer
    x = 536.59

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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.