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Finding the Fourth Proportional to 313.96, 435.10 and 309.56

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Solution

The fourth proportional to 313.96, 435.10 and 309.56 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 435.10 = 309.56 : x
  2. Step 2: Convert to fraction form
    313.96/435.10 = 309.56/x
  3. Step 3: Cross multiply
    313.96x = 435.10 × 309.56
  4. Step 4: Simplify right side
    313.96x = 134,686.32
  5. Step 5: Solve for x
    x = 134,686.32/313.96
  6. Step 6: Final answer
    x = 428.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.