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Finding the Fourth Proportional to 353.72, 488.15 and 206.30

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Solution

The fourth proportional to 353.72, 488.15 and 206.30 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 488.15 = 206.30 : x
  2. Step 2: Convert to fraction form
    353.72/488.15 = 206.30/x
  3. Step 3: Cross multiply
    353.72x = 488.15 × 206.30
  4. Step 4: Simplify right side
    353.72x = 100,704.14
  5. Step 5: Solve for x
    x = 100,704.14/353.72
  6. Step 6: Final answer
    x = 284.70

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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.