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Finding the Fourth Proportional to 493.62, 681.09 and 286.50

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Solution

The fourth proportional to 493.62, 681.09 and 286.50 is: 395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 681.09 = 286.50 : x
  2. Step 2: Convert to fraction form
    493.62/681.09 = 286.50/x
  3. Step 3: Cross multiply
    493.62x = 681.09 × 286.50
  4. Step 4: Simplify right side
    493.62x = 195,132.29
  5. Step 5: Solve for x
    x = 195,132.29/493.62
  6. Step 6: Final answer
    x = 395.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.