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Finding the Fourth Proportional to 491.06, 677.63 and 281.21

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Solution

The fourth proportional to 491.06, 677.63 and 281.21 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 677.63 = 281.21 : x
  2. Step 2: Convert to fraction form
    491.06/677.63 = 281.21/x
  3. Step 3: Cross multiply
    491.06x = 677.63 × 281.21
  4. Step 4: Simplify right side
    491.06x = 190,553.65
  5. Step 5: Solve for x
    x = 190,553.65/491.06
  6. Step 6: Final answer
    x = 388.04

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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.