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Finding the Fourth Proportional to 278.25, 384.01 and 161.84

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Solution

The fourth proportional to 278.25, 384.01 and 161.84 is: 223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 384.01 = 161.84 : x
  2. Step 2: Convert to fraction form
    278.25/384.01 = 161.84/x
  3. Step 3: Cross multiply
    278.25x = 384.01 × 161.84
  4. Step 4: Simplify right side
    278.25x = 62,145.85
  5. Step 5: Solve for x
    x = 62,145.85/278.25
  6. Step 6: Final answer
    x = 223.35

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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.