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Finding the Fourth Proportional to 178.36, 268.02 and 123.88

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Solution

The fourth proportional to 178.36, 268.02 and 123.88 is: 186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.36 : 268.02 = 123.88 : x
  2. Step 2: Convert to fraction form
    178.36/268.02 = 123.88/x
  3. Step 3: Cross multiply
    178.36x = 268.02 × 123.88
  4. Step 4: Simplify right side
    178.36x = 33,202.32
  5. Step 5: Solve for x
    x = 33,202.32/178.36
  6. Step 6: Final answer
    x = 186.15

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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.