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Finding the Fourth Proportional to 455.35, 682.62 and 300.95

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Solution

The fourth proportional to 455.35, 682.62 and 300.95 is: 451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.35 : 682.62 = 300.95 : x
  2. Step 2: Convert to fraction form
    455.35/682.62 = 300.95/x
  3. Step 3: Cross multiply
    455.35x = 682.62 × 300.95
  4. Step 4: Simplify right side
    455.35x = 205,433.35
  5. Step 5: Solve for x
    x = 205,433.35/455.35
  6. Step 6: Final answer
    x = 451.16

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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.