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Finding the Fourth Proportional to 493.61, 681.40 and 354.41

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Solution

The fourth proportional to 493.61, 681.40 and 354.41 is: 489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.61 : 681.40 = 354.41 : x
  2. Step 2: Convert to fraction form
    493.61/681.40 = 354.41/x
  3. Step 3: Cross multiply
    493.61x = 681.40 × 354.41
  4. Step 4: Simplify right side
    493.61x = 241,494.97
  5. Step 5: Solve for x
    x = 241,494.97/493.61
  6. Step 6: Final answer
    x = 489.24

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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.