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Finding the Fourth Proportional to 314.40, 428.06 and 313.43

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Solution

The fourth proportional to 314.40, 428.06 and 313.43 is: 426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 428.06 = 313.43 : x
  2. Step 2: Convert to fraction form
    314.40/428.06 = 313.43/x
  3. Step 3: Cross multiply
    314.40x = 428.06 × 313.43
  4. Step 4: Simplify right side
    314.40x = 134,163.14
  5. Step 5: Solve for x
    x = 134,163.14/314.40
  6. Step 6: Final answer
    x = 426.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.