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Finding the Fourth Proportional to 571.87, 857.81 and 206.66

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Solution

The fourth proportional to 571.87, 857.81 and 206.66 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.87 : 857.81 = 206.66 : x
  2. Step 2: Convert to fraction form
    571.87/857.81 = 206.66/x
  3. Step 3: Cross multiply
    571.87x = 857.81 × 206.66
  4. Step 4: Simplify right side
    571.87x = 177,275.01
  5. Step 5: Solve for x
    x = 177,275.01/571.87
  6. Step 6: Final answer
    x = 309.99

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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.