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Finding the Fourth Proportional to 493.69, 681.71 and 338.89

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Solution

The fourth proportional to 493.69, 681.71 and 338.89 is: 467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.69 : 681.71 = 338.89 : x
  2. Step 2: Convert to fraction form
    493.69/681.71 = 338.89/x
  3. Step 3: Cross multiply
    493.69x = 681.71 × 338.89
  4. Step 4: Simplify right side
    493.69x = 231,024.70
  5. Step 5: Solve for x
    x = 231,024.70/493.69
  6. Step 6: Final answer
    x = 467.95

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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.