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Finding the Fourth Proportional to 278.31, 384.18 and 161.94

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Solution

The fourth proportional to 278.31, 384.18 and 161.94 is: 223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 384.18 = 161.94 : x
  2. Step 2: Convert to fraction form
    278.31/384.18 = 161.94/x
  3. Step 3: Cross multiply
    278.31x = 384.18 × 161.94
  4. Step 4: Simplify right side
    278.31x = 62,214.11
  5. Step 5: Solve for x
    x = 62,214.11/278.31
  6. Step 6: Final answer
    x = 223.54

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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.