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Finding the Fourth Proportional to 492.49, 738.58 and 199.90

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Solution

The fourth proportional to 492.49, 738.58 and 199.90 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.49 : 738.58 = 199.90 : x
  2. Step 2: Convert to fraction form
    492.49/738.58 = 199.90/x
  3. Step 3: Cross multiply
    492.49x = 738.58 × 199.90
  4. Step 4: Simplify right side
    492.49x = 147,642.14
  5. Step 5: Solve for x
    x = 147,642.14/492.49
  6. Step 6: Final answer
    x = 299.79

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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.