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Finding the Fourth Proportional to 333.74, 460.78 and 209.58

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Solution

The fourth proportional to 333.74, 460.78 and 209.58 is: 289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 460.78 = 209.58 : x
  2. Step 2: Convert to fraction form
    333.74/460.78 = 209.58/x
  3. Step 3: Cross multiply
    333.74x = 460.78 × 209.58
  4. Step 4: Simplify right side
    333.74x = 96,570.27
  5. Step 5: Solve for x
    x = 96,570.27/333.74
  6. Step 6: Final answer
    x = 289.36

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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.