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Finding the Fourth Proportional to 498.94, 748.40 and 206.60

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Solution

The fourth proportional to 498.94, 748.40 and 206.60 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 748.40 = 206.60 : x
  2. Step 2: Convert to fraction form
    498.94/748.40 = 206.60/x
  3. Step 3: Cross multiply
    498.94x = 748.40 × 206.60
  4. Step 4: Simplify right side
    498.94x = 154,619.44
  5. Step 5: Solve for x
    x = 154,619.44/498.94
  6. Step 6: Final answer
    x = 309.90

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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.