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Finding the Fourth Proportional to 569.96, 855.32 and 204.76

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Solution

The fourth proportional to 569.96, 855.32 and 204.76 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 855.32 = 204.76 : x
  2. Step 2: Convert to fraction form
    569.96/855.32 = 204.76/x
  3. Step 3: Cross multiply
    569.96x = 855.32 × 204.76
  4. Step 4: Simplify right side
    569.96x = 175,135.32
  5. Step 5: Solve for x
    x = 175,135.32/569.96
  6. Step 6: Final answer
    x = 307.28

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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.