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Finding the Fourth Proportional to 333.84, 460.99 and 209.71

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Solution

The fourth proportional to 333.84, 460.99 and 209.71 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 460.99 = 209.71 : x
  2. Step 2: Convert to fraction form
    333.84/460.99 = 209.71/x
  3. Step 3: Cross multiply
    333.84x = 460.99 × 209.71
  4. Step 4: Simplify right side
    333.84x = 96,673.16
  5. Step 5: Solve for x
    x = 96,673.16/333.84
  6. Step 6: Final answer
    x = 289.58

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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.