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Finding the Fourth Proportional to 455.32, 682.49 and 162.54

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Solution

The fourth proportional to 455.32, 682.49 and 162.54 is: 243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.32 : 682.49 = 162.54 : x
  2. Step 2: Convert to fraction form
    455.32/682.49 = 162.54/x
  3. Step 3: Cross multiply
    455.32x = 682.49 × 162.54
  4. Step 4: Simplify right side
    455.32x = 110,932.33
  5. Step 5: Solve for x
    x = 110,932.33/455.32
  6. Step 6: Final answer
    x = 243.64

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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.