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Finding the Fourth Proportional to 272.00, 407.78 and 194.91

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Solution

The fourth proportional to 272.00, 407.78 and 194.91 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.00 : 407.78 = 194.91 : x
  2. Step 2: Convert to fraction form
    272.00/407.78 = 194.91/x
  3. Step 3: Cross multiply
    272.00x = 407.78 × 194.91
  4. Step 4: Simplify right side
    272.00x = 79,479.43
  5. Step 5: Solve for x
    x = 79,479.43/272.00
  6. Step 6: Final answer
    x = 292.21

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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.