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Finding the Fourth Proportional to 574.99, 861.83 and 228.22

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Solution

The fourth proportional to 574.99, 861.83 and 228.22 is: 342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.99 : 861.83 = 228.22 : x
  2. Step 2: Convert to fraction form
    574.99/861.83 = 228.22/x
  3. Step 3: Cross multiply
    574.99x = 861.83 × 228.22
  4. Step 4: Simplify right side
    574.99x = 196,684.40
  5. Step 5: Solve for x
    x = 196,684.40/574.99
  6. Step 6: Final answer
    x = 342.07

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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.