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Finding the Fourth Proportional to 313.62, 430.25 and 305.09

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Solution

The fourth proportional to 313.62, 430.25 and 305.09 is: 418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 430.25 = 305.09 : x
  2. Step 2: Convert to fraction form
    313.62/430.25 = 305.09/x
  3. Step 3: Cross multiply
    313.62x = 430.25 × 305.09
  4. Step 4: Simplify right side
    313.62x = 131,261.30
  5. Step 5: Solve for x
    x = 131,261.30/313.62
  6. Step 6: Final answer
    x = 418.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.