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Finding the Fourth Proportional to 208.68, 290.28 and 204.72

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Solution

The fourth proportional to 208.68, 290.28 and 204.72 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.68 : 290.28 = 204.72 : x
  2. Step 2: Convert to fraction form
    208.68/290.28 = 204.72/x
  3. Step 3: Cross multiply
    208.68x = 290.28 × 204.72
  4. Step 4: Simplify right side
    208.68x = 59,426.12
  5. Step 5: Solve for x
    x = 59,426.12/208.68
  6. Step 6: Final answer
    x = 284.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.