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Finding the Fourth Proportional to 318.94, 436.94 and 307.09

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Solution

The fourth proportional to 318.94, 436.94 and 307.09 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.94 : 436.94 = 307.09 : x
  2. Step 2: Convert to fraction form
    318.94/436.94 = 307.09/x
  3. Step 3: Cross multiply
    318.94x = 436.94 × 307.09
  4. Step 4: Simplify right side
    318.94x = 134,179.90
  5. Step 5: Solve for x
    x = 134,179.90/318.94
  6. Step 6: Final answer
    x = 420.71

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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.