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Finding the Fourth Proportional to 323.94, 486.30 and 307.79

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Solution

The fourth proportional to 323.94, 486.30 and 307.79 is: 462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 486.30 = 307.79 : x
  2. Step 2: Convert to fraction form
    323.94/486.30 = 307.79/x
  3. Step 3: Cross multiply
    323.94x = 486.30 × 307.79
  4. Step 4: Simplify right side
    323.94x = 149,675.85
  5. Step 5: Solve for x
    x = 149,675.85/323.94
  6. Step 6: Final answer
    x = 462.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.