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Finding the Fourth Proportional to 450, 675.08 and 206.68

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Solution

The fourth proportional to 450, 675.08 and 206.68 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 675.08 = 206.68 : x
  2. Step 2: Convert to fraction form
    450/675.08 = 206.68/x
  3. Step 3: Cross multiply
    450x = 675.08 × 206.68
  4. Step 4: Simplify right side
    450x = 139,525.53
  5. Step 5: Solve for x
    x = 139,525.53/450
  6. Step 6: Final answer
    x = 310.06

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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.