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Finding the Fourth Proportional to 455, 681.96 and 194.92

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Solution

The fourth proportional to 455, 681.96 and 194.92 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455 : 681.96 = 194.92 : x
  2. Step 2: Convert to fraction form
    455/681.96 = 194.92/x
  3. Step 3: Cross multiply
    455x = 681.96 × 194.92
  4. Step 4: Simplify right side
    455x = 132,927.64
  5. Step 5: Solve for x
    x = 132,927.64/455
  6. Step 6: Final answer
    x = 292.15

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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.