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Finding the Fourth Proportional to 354.05, 488.59 and 206.78

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Solution

The fourth proportional to 354.05, 488.59 and 206.78 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.05 : 488.59 = 206.78 : x
  2. Step 2: Convert to fraction form
    354.05/488.59 = 206.78/x
  3. Step 3: Cross multiply
    354.05x = 488.59 × 206.78
  4. Step 4: Simplify right side
    354.05x = 101,031.34
  5. Step 5: Solve for x
    x = 101,031.34/354.05
  6. Step 6: Final answer
    x = 285.36

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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.