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Finding the Fourth Proportional to 455.28, 682.64 and 301.04

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Solution

The fourth proportional to 455.28, 682.64 and 301.04 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.28 : 682.64 = 301.04 : x
  2. Step 2: Convert to fraction form
    455.28/682.64 = 301.04/x
  3. Step 3: Cross multiply
    455.28x = 682.64 × 301.04
  4. Step 4: Simplify right side
    455.28x = 205,501.95
  5. Step 5: Solve for x
    x = 205,501.95/455.28
  6. Step 6: Final answer
    x = 451.37

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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.