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Finding the Fourth Proportional to 571.81, 857.71 and 206.60

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Solution

The fourth proportional to 571.81, 857.71 and 206.60 is: 309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.81 : 857.71 = 206.60 : x
  2. Step 2: Convert to fraction form
    571.81/857.71 = 206.60/x
  3. Step 3: Cross multiply
    571.81x = 857.71 × 206.60
  4. Step 4: Simplify right side
    571.81x = 177,198.60
  5. Step 5: Solve for x
    x = 177,198.60/571.81
  6. Step 6: Final answer
    x = 309.89

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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.