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Finding the Fourth Proportional to 493.70, 681.33 and 272.65

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Solution

The fourth proportional to 493.70, 681.33 and 272.65 is: 376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 681.33 = 272.65 : x
  2. Step 2: Convert to fraction form
    493.70/681.33 = 272.65/x
  3. Step 3: Cross multiply
    493.70x = 681.33 × 272.65
  4. Step 4: Simplify right side
    493.70x = 185,763.69
  5. Step 5: Solve for x
    x = 185,763.69/493.70
  6. Step 6: Final answer
    x = 376.27

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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.