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Finding the Fourth Proportional to 314.17, 433.59 and 196.23

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Solution

The fourth proportional to 314.17, 433.59 and 196.23 is: 270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.17 : 433.59 = 196.23 : x
  2. Step 2: Convert to fraction form
    314.17/433.59 = 196.23/x
  3. Step 3: Cross multiply
    314.17x = 433.59 × 196.23
  4. Step 4: Simplify right side
    314.17x = 85,083.37
  5. Step 5: Solve for x
    x = 85,083.37/314.17
  6. Step 6: Final answer
    x = 270.82

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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.