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Finding the Fourth Proportional to 574.20, 860.76 and 209.28

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Solution

The fourth proportional to 574.20, 860.76 and 209.28 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.20 : 860.76 = 209.28 : x
  2. Step 2: Convert to fraction form
    574.20/860.76 = 209.28/x
  3. Step 3: Cross multiply
    574.20x = 860.76 × 209.28
  4. Step 4: Simplify right side
    574.20x = 180,139.85
  5. Step 5: Solve for x
    x = 180,139.85/574.20
  6. Step 6: Final answer
    x = 313.72

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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.