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Finding the Fourth Proportional to 571.86, 856.78 and 206.42

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Solution

The fourth proportional to 571.86, 856.78 and 206.42 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 856.78 = 206.42 : x
  2. Step 2: Convert to fraction form
    571.86/856.78 = 206.42/x
  3. Step 3: Cross multiply
    571.86x = 856.78 × 206.42
  4. Step 4: Simplify right side
    571.86x = 176,851.73
  5. Step 5: Solve for x
    x = 176,851.73/571.86
  6. Step 6: Final answer
    x = 309.26

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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.