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Finding the Fourth Proportional to 314.90, 434.46 and 196.68

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Solution

The fourth proportional to 314.90, 434.46 and 196.68 is: 271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.90 : 434.46 = 196.68 : x
  2. Step 2: Convert to fraction form
    314.90/434.46 = 196.68/x
  3. Step 3: Cross multiply
    314.90x = 434.46 × 196.68
  4. Step 4: Simplify right side
    314.90x = 85,449.59
  5. Step 5: Solve for x
    x = 85,449.59/314.90
  6. Step 6: Final answer
    x = 271.36

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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.