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Finding the Fourth Proportional to 571.02, 856.40 and 160.21

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Solution

The fourth proportional to 571.02, 856.40 and 160.21 is: 240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.02 : 856.40 = 160.21 : x
  2. Step 2: Convert to fraction form
    571.02/856.40 = 160.21/x
  3. Step 3: Cross multiply
    571.02x = 856.40 × 160.21
  4. Step 4: Simplify right side
    571.02x = 137,202.10
  5. Step 5: Solve for x
    x = 137,202.10/571.02
  6. Step 6: Final answer
    x = 240.28

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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.