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Finding the Fourth Proportional to 378.73, 568.09 and 104.81

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Solution

The fourth proportional to 378.73, 568.09 and 104.81 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.73 : 568.09 = 104.81 : x
  2. Step 2: Convert to fraction form
    378.73/568.09 = 104.81/x
  3. Step 3: Cross multiply
    378.73x = 568.09 × 104.81
  4. Step 4: Simplify right side
    378.73x = 59,541.51
  5. Step 5: Solve for x
    x = 59,541.51/378.73
  6. Step 6: Final answer
    x = 157.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.