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Finding the Fourth Proportional to 335.25, 462.83 and 225.31

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Solution

The fourth proportional to 335.25, 462.83 and 225.31 is: 311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.25 : 462.83 = 225.31 : x
  2. Step 2: Convert to fraction form
    335.25/462.83 = 225.31/x
  3. Step 3: Cross multiply
    335.25x = 462.83 × 225.31
  4. Step 4: Simplify right side
    335.25x = 104,280.23
  5. Step 5: Solve for x
    x = 104,280.23/335.25
  6. Step 6: Final answer
    x = 311.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.