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Finding the Fourth Proportional to 335.16, 462.75 and 209.18

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Solution

The fourth proportional to 335.16, 462.75 and 209.18 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.16 : 462.75 = 209.18 : x
  2. Step 2: Convert to fraction form
    335.16/462.75 = 209.18/x
  3. Step 3: Cross multiply
    335.16x = 462.75 × 209.18
  4. Step 4: Simplify right side
    335.16x = 96,795.21
  5. Step 5: Solve for x
    x = 96,795.21/335.16
  6. Step 6: Final answer
    x = 288.80

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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.