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Finding the Fourth Proportional to 455.08, 682.50 and 194.98

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Solution

The fourth proportional to 455.08, 682.50 and 194.98 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.08 : 682.50 = 194.98 : x
  2. Step 2: Convert to fraction form
    455.08/682.50 = 194.98/x
  3. Step 3: Cross multiply
    455.08x = 682.50 × 194.98
  4. Step 4: Simplify right side
    455.08x = 133,073.85
  5. Step 5: Solve for x
    x = 133,073.85/455.08
  6. Step 6: Final answer
    x = 292.42

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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.