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Finding the Fourth Proportional to 455.30, 682.97 and 142.95

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Solution

The fourth proportional to 455.30, 682.97 and 142.95 is: 214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 682.97 = 142.95 : x
  2. Step 2: Convert to fraction form
    455.30/682.97 = 142.95/x
  3. Step 3: Cross multiply
    455.30x = 682.97 × 142.95
  4. Step 4: Simplify right side
    455.30x = 97,628.57
  5. Step 5: Solve for x
    x = 97,628.57/455.30
  6. Step 6: Final answer
    x = 214.42

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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.