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Finding the Fourth Proportional to 314.28, 433.75 and 196.37

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Solution

The fourth proportional to 314.28, 433.75 and 196.37 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 433.75 = 196.37 : x
  2. Step 2: Convert to fraction form
    314.28/433.75 = 196.37/x
  3. Step 3: Cross multiply
    314.28x = 433.75 × 196.37
  4. Step 4: Simplify right side
    314.28x = 85,176.71
  5. Step 5: Solve for x
    x = 85,176.71/314.28
  6. Step 6: Final answer
    x = 271.02

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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.