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Finding the Fourth Proportional to 382.67, 528.09 and 208.02

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Solution

The fourth proportional to 382.67, 528.09 and 208.02 is: 287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.67 : 528.09 = 208.02 : x
  2. Step 2: Convert to fraction form
    382.67/528.09 = 208.02/x
  3. Step 3: Cross multiply
    382.67x = 528.09 × 208.02
  4. Step 4: Simplify right side
    382.67x = 109,851.96
  5. Step 5: Solve for x
    x = 109,851.96/382.67
  6. Step 6: Final answer
    x = 287.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.