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Finding the Fourth Proportional to 571.31, 856.81 and 160.34

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Solution

The fourth proportional to 571.31, 856.81 and 160.34 is: 240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.31 : 856.81 = 160.34 : x
  2. Step 2: Convert to fraction form
    571.31/856.81 = 160.34/x
  3. Step 3: Cross multiply
    571.31x = 856.81 × 160.34
  4. Step 4: Simplify right side
    571.31x = 137,380.92
  5. Step 5: Solve for x
    x = 137,380.92/571.31
  6. Step 6: Final answer
    x = 240.47

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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.