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Finding the Fourth Proportional to 378.81, 568.10 and 122.25

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Solution

The fourth proportional to 378.81, 568.10 and 122.25 is: 183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 568.10 = 122.25 : x
  2. Step 2: Convert to fraction form
    378.81/568.10 = 122.25/x
  3. Step 3: Cross multiply
    378.81x = 568.10 × 122.25
  4. Step 4: Simplify right side
    378.81x = 69,449.61
  5. Step 5: Solve for x
    x = 69,449.61/378.81
  6. Step 6: Final answer
    x = 183.34

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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.