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Finding the Fourth Proportional to 619.45, 928.91 and 208.49

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Solution

The fourth proportional to 619.45, 928.91 and 208.49 is: 312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.45 : 928.91 = 208.49 : x
  2. Step 2: Convert to fraction form
    619.45/928.91 = 208.49/x
  3. Step 3: Cross multiply
    619.45x = 928.91 × 208.49
  4. Step 4: Simplify right side
    619.45x = 193,664.32
  5. Step 5: Solve for x
    x = 193,664.32/619.45
  6. Step 6: Final answer
    x = 312.64

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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.