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Finding the Fourth Proportional to 599.96, 899.98 and 189.09

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Solution

The fourth proportional to 599.96, 899.98 and 189.09 is: 283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.96 : 899.98 = 189.09 : x
  2. Step 2: Convert to fraction form
    599.96/899.98 = 189.09/x
  3. Step 3: Cross multiply
    599.96x = 899.98 × 189.09
  4. Step 4: Simplify right side
    599.96x = 170,176.75
  5. Step 5: Solve for x
    x = 170,176.75/599.96
  6. Step 6: Final answer
    x = 283.65

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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.