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Finding the Fourth Proportional to 355.84, 491.07 and 196.35

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Solution

The fourth proportional to 355.84, 491.07 and 196.35 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 491.07 = 196.35 : x
  2. Step 2: Convert to fraction form
    355.84/491.07 = 196.35/x
  3. Step 3: Cross multiply
    355.84x = 491.07 × 196.35
  4. Step 4: Simplify right side
    355.84x = 96,421.59
  5. Step 5: Solve for x
    x = 96,421.59/355.84
  6. Step 6: Final answer
    x = 270.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.