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Finding the Fourth Proportional to 333.84, 460.92 and 209.55

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Solution

The fourth proportional to 333.84, 460.92 and 209.55 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 460.92 = 209.55 : x
  2. Step 2: Convert to fraction form
    333.84/460.92 = 209.55/x
  3. Step 3: Cross multiply
    333.84x = 460.92 × 209.55
  4. Step 4: Simplify right side
    333.84x = 96,585.79
  5. Step 5: Solve for x
    x = 96,585.79/333.84
  6. Step 6: Final answer
    x = 289.32

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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.