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Finding the Fourth Proportional to 455.37, 682.40 and 259.97

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Solution

The fourth proportional to 455.37, 682.40 and 259.97 is: 389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.37 : 682.40 = 259.97 : x
  2. Step 2: Convert to fraction form
    455.37/682.40 = 259.97/x
  3. Step 3: Cross multiply
    455.37x = 682.40 × 259.97
  4. Step 4: Simplify right side
    455.37x = 177,400.12
  5. Step 5: Solve for x
    x = 177,400.12/455.37
  6. Step 6: Final answer
    x = 389.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.