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Finding the Fourth Proportional to 178.19, 268.56 and 168.27

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Solution

The fourth proportional to 178.19, 268.56 and 168.27 is: 253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.19 : 268.56 = 168.27 : x
  2. Step 2: Convert to fraction form
    178.19/268.56 = 168.27/x
  3. Step 3: Cross multiply
    178.19x = 268.56 × 168.27
  4. Step 4: Simplify right side
    178.19x = 45,190.59
  5. Step 5: Solve for x
    x = 45,190.59/178.19
  6. Step 6: Final answer
    x = 253.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.