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Finding the Fourth Proportional to 312.90, 435.25 and 306.96

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Solution

The fourth proportional to 312.90, 435.25 and 306.96 is: 426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.90 : 435.25 = 306.96 : x
  2. Step 2: Convert to fraction form
    312.90/435.25 = 306.96/x
  3. Step 3: Cross multiply
    312.90x = 435.25 × 306.96
  4. Step 4: Simplify right side
    312.90x = 133,604.34
  5. Step 5: Solve for x
    x = 133,604.34/312.90
  6. Step 6: Final answer
    x = 426.99

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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.