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Finding the Fourth Proportional to 492.98, 738.86 and 297.36

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Solution

The fourth proportional to 492.98, 738.86 and 297.36 is: 445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.98 : 738.86 = 297.36 : x
  2. Step 2: Convert to fraction form
    492.98/738.86 = 297.36/x
  3. Step 3: Cross multiply
    492.98x = 738.86 × 297.36
  4. Step 4: Simplify right side
    492.98x = 219,705.92
  5. Step 5: Solve for x
    x = 219,705.92/492.98
  6. Step 6: Final answer
    x = 445.67

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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.