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Finding the Fourth Proportional to 569.96, 855.01 and 204.89

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Solution

The fourth proportional to 569.96, 855.01 and 204.89 is: 307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 855.01 = 204.89 : x
  2. Step 2: Convert to fraction form
    569.96/855.01 = 204.89/x
  3. Step 3: Cross multiply
    569.96x = 855.01 × 204.89
  4. Step 4: Simplify right side
    569.96x = 175,184.62
  5. Step 5: Solve for x
    x = 175,184.62/569.96
  6. Step 6: Final answer
    x = 307.36

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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.