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Finding the Fourth Proportional to 571.41, 856.85 and 206.15

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Solution

The fourth proportional to 571.41, 856.85 and 206.15 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.41 : 856.85 = 206.15 : x
  2. Step 2: Convert to fraction form
    571.41/856.85 = 206.15/x
  3. Step 3: Cross multiply
    571.41x = 856.85 × 206.15
  4. Step 4: Simplify right side
    571.41x = 176,634.31
  5. Step 5: Solve for x
    x = 176,634.31/571.41
  6. Step 6: Final answer
    x = 309.12

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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.