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Finding the Fourth Proportional to 569.16, 853.84 and 203.86

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Solution

The fourth proportional to 569.16, 853.84 and 203.86 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 853.84 = 203.86 : x
  2. Step 2: Convert to fraction form
    569.16/853.84 = 203.86/x
  3. Step 3: Cross multiply
    569.16x = 853.84 × 203.86
  4. Step 4: Simplify right side
    569.16x = 174,063.82
  5. Step 5: Solve for x
    x = 174,063.82/569.16
  6. Step 6: Final answer
    x = 305.83

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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.