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Finding the Fourth Proportional to 569.11, 853.38 and 203.84

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Solution

The fourth proportional to 569.11, 853.38 and 203.84 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 853.38 = 203.84 : x
  2. Step 2: Convert to fraction form
    569.11/853.38 = 203.84/x
  3. Step 3: Cross multiply
    569.11x = 853.38 × 203.84
  4. Step 4: Simplify right side
    569.11x = 173,952.98
  5. Step 5: Solve for x
    x = 173,952.98/569.11
  6. Step 6: Final answer
    x = 305.66

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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.