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Finding the Fourth Proportional to 455.01, 682.09 and 162.36

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Solution

The fourth proportional to 455.01, 682.09 and 162.36 is: 243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 682.09 = 162.36 : x
  2. Step 2: Convert to fraction form
    455.01/682.09 = 162.36/x
  3. Step 3: Cross multiply
    455.01x = 682.09 × 162.36
  4. Step 4: Simplify right side
    455.01x = 110,744.13
  5. Step 5: Solve for x
    x = 110,744.13/455.01
  6. Step 6: Final answer
    x = 243.39

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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.