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Finding the Fourth Proportional to 491.41, 678.15 and 281.61

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Solution

The fourth proportional to 491.41, 678.15 and 281.61 is: 388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.41 : 678.15 = 281.61 : x
  2. Step 2: Convert to fraction form
    491.41/678.15 = 281.61/x
  3. Step 3: Cross multiply
    491.41x = 678.15 × 281.61
  4. Step 4: Simplify right side
    491.41x = 190,970.43
  5. Step 5: Solve for x
    x = 190,970.43/491.41
  6. Step 6: Final answer
    x = 388.62

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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.