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Finding the Fourth Proportional to 493.94, 681.73 and 284.25

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Solution

The fourth proportional to 493.94, 681.73 and 284.25 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 681.73 = 284.25 : x
  2. Step 2: Convert to fraction form
    493.94/681.73 = 284.25/x
  3. Step 3: Cross multiply
    493.94x = 681.73 × 284.25
  4. Step 4: Simplify right side
    493.94x = 193,780.33
  5. Step 5: Solve for x
    x = 193,780.33/493.94
  6. Step 6: Final answer
    x = 392.32

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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.