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Finding the Fourth Proportional to 492.03, 738.18 and 297.18

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Solution

The fourth proportional to 492.03, 738.18 and 297.18 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.03 : 738.18 = 297.18 : x
  2. Step 2: Convert to fraction form
    492.03/738.18 = 297.18/x
  3. Step 3: Cross multiply
    492.03x = 738.18 × 297.18
  4. Step 4: Simplify right side
    492.03x = 219,372.33
  5. Step 5: Solve for x
    x = 219,372.33/492.03
  6. Step 6: Final answer
    x = 445.85

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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.