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Finding the Fourth Proportional to 314.93, 434.26 and 196.86

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Solution

The fourth proportional to 314.93, 434.26 and 196.86 is: 271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.93 : 434.26 = 196.86 : x
  2. Step 2: Convert to fraction form
    314.93/434.26 = 196.86/x
  3. Step 3: Cross multiply
    314.93x = 434.26 × 196.86
  4. Step 4: Simplify right side
    314.93x = 85,485.27
  5. Step 5: Solve for x
    x = 85,485.27/314.93
  6. Step 6: Final answer
    x = 271.45

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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.