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Finding the Fourth Proportional to 178.78, 268.40 and 138.24

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Solution

The fourth proportional to 178.78, 268.40 and 138.24 is: 207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.78 : 268.40 = 138.24 : x
  2. Step 2: Convert to fraction form
    178.78/268.40 = 138.24/x
  3. Step 3: Cross multiply
    178.78x = 268.40 × 138.24
  4. Step 4: Simplify right side
    178.78x = 37,103.62
  5. Step 5: Solve for x
    x = 37,103.62/178.78
  6. Step 6: Final answer
    x = 207.54

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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.