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Finding the Fourth Proportional to 571.56, 857.13 and 220.08

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Solution

The fourth proportional to 571.56, 857.13 and 220.08 is: 330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.56 : 857.13 = 220.08 : x
  2. Step 2: Convert to fraction form
    571.56/857.13 = 220.08/x
  3. Step 3: Cross multiply
    571.56x = 857.13 × 220.08
  4. Step 4: Simplify right side
    571.56x = 188,637.17
  5. Step 5: Solve for x
    x = 188,637.17/571.56
  6. Step 6: Final answer
    x = 330.04

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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.