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Finding the Fourth Proportional to 314.28, 433.89 and 227.14

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Solution

The fourth proportional to 314.28, 433.89 and 227.14 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 433.89 = 227.14 : x
  2. Step 2: Convert to fraction form
    314.28/433.89 = 227.14/x
  3. Step 3: Cross multiply
    314.28x = 433.89 × 227.14
  4. Step 4: Simplify right side
    314.28x = 98,552.69
  5. Step 5: Solve for x
    x = 98,552.69/314.28
  6. Step 6: Final answer
    x = 313.58

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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.