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Finding the Fourth Proportional to 278.25, 384.03 and 161.79

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Solution

The fourth proportional to 278.25, 384.03 and 161.79 is: 223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 384.03 = 161.79 : x
  2. Step 2: Convert to fraction form
    278.25/384.03 = 161.79/x
  3. Step 3: Cross multiply
    278.25x = 384.03 × 161.79
  4. Step 4: Simplify right side
    278.25x = 62,132.21
  5. Step 5: Solve for x
    x = 62,132.21/278.25
  6. Step 6: Final answer
    x = 223.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.