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Finding the Fourth Proportional to 492.94, 739.59 and 219.07

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Solution

The fourth proportional to 492.94, 739.59 and 219.07 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.94 : 739.59 = 219.07 : x
  2. Step 2: Convert to fraction form
    492.94/739.59 = 219.07/x
  3. Step 3: Cross multiply
    492.94x = 739.59 × 219.07
  4. Step 4: Simplify right side
    492.94x = 162,021.98
  5. Step 5: Solve for x
    x = 162,021.98/492.94
  6. Step 6: Final answer
    x = 328.68

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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.