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Finding the Fourth Proportional to 335.25, 462.51 and 209.25

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Solution

The fourth proportional to 335.25, 462.51 and 209.25 is: 288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.25 : 462.51 = 209.25 : x
  2. Step 2: Convert to fraction form
    335.25/462.51 = 209.25/x
  3. Step 3: Cross multiply
    335.25x = 462.51 × 209.25
  4. Step 4: Simplify right side
    335.25x = 96,780.22
  5. Step 5: Solve for x
    x = 96,780.22/335.25
  6. Step 6: Final answer
    x = 288.68

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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.