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Finding the Fourth Proportional to 455.50, 682.89 and 195.49

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Solution

The fourth proportional to 455.50, 682.89 and 195.49 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.50 : 682.89 = 195.49 : x
  2. Step 2: Convert to fraction form
    455.50/682.89 = 195.49/x
  3. Step 3: Cross multiply
    455.50x = 682.89 × 195.49
  4. Step 4: Simplify right side
    455.50x = 133,498.17
  5. Step 5: Solve for x
    x = 133,498.17/455.50
  6. Step 6: Final answer
    x = 293.08

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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.