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Finding the Fourth Proportional to 571.52, 857.28 and 186.80

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Solution

The fourth proportional to 571.52, 857.28 and 186.80 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.52 : 857.28 = 186.80 : x
  2. Step 2: Convert to fraction form
    571.52/857.28 = 186.80/x
  3. Step 3: Cross multiply
    571.52x = 857.28 × 186.80
  4. Step 4: Simplify right side
    571.52x = 160,139.90
  5. Step 5: Solve for x
    x = 160,139.90/571.52
  6. Step 6: Final answer
    x = 280.20

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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.