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Finding the Fourth Proportional to 378.33, 567.36 and 161.76

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Solution

The fourth proportional to 378.33, 567.36 and 161.76 is: 242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.33 : 567.36 = 161.76 : x
  2. Step 2: Convert to fraction form
    378.33/567.36 = 161.76/x
  3. Step 3: Cross multiply
    378.33x = 567.36 × 161.76
  4. Step 4: Simplify right side
    378.33x = 91,776.15
  5. Step 5: Solve for x
    x = 91,776.15/378.33
  6. Step 6: Final answer
    x = 242.58

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