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Finding the Fourth Proportional to 569.33, 853.61 and 199.04

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Solution

The fourth proportional to 569.33, 853.61 and 199.04 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.33 : 853.61 = 199.04 : x
  2. Step 2: Convert to fraction form
    569.33/853.61 = 199.04/x
  3. Step 3: Cross multiply
    569.33x = 853.61 × 199.04
  4. Step 4: Simplify right side
    569.33x = 169,897.27
  5. Step 5: Solve for x
    x = 169,897.27/569.33
  6. Step 6: Final answer
    x = 298.42

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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.