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Finding the Fourth Proportional to 619.23, 928.96 and 197.19

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Solution

The fourth proportional to 619.23, 928.96 and 197.19 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.23 : 928.96 = 197.19 : x
  2. Step 2: Convert to fraction form
    619.23/928.96 = 197.19/x
  3. Step 3: Cross multiply
    619.23x = 928.96 × 197.19
  4. Step 4: Simplify right side
    619.23x = 183,181.62
  5. Step 5: Solve for x
    x = 183,181.62/619.23
  6. Step 6: Final answer
    x = 295.82

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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.