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Finding the Fourth Proportional to 455.01, 682 and 181.03

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Solution

The fourth proportional to 455.01, 682 and 181.03 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 682 = 181.03 : x
  2. Step 2: Convert to fraction form
    455.01/682 = 181.03/x
  3. Step 3: Cross multiply
    455.01x = 682 × 181.03
  4. Step 4: Simplify right side
    455.01x = 123,459.05
  5. Step 5: Solve for x
    x = 123,459.05/455.01
  6. Step 6: Final answer
    x = 271.34

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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.