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Finding the Fourth Proportional to 178.53, 269.16 and 168.09

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Solution

The fourth proportional to 178.53, 269.16 and 168.09 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.53 : 269.16 = 168.09 : x
  2. Step 2: Convert to fraction form
    178.53/269.16 = 168.09/x
  3. Step 3: Cross multiply
    178.53x = 269.16 × 168.09
  4. Step 4: Simplify right side
    178.53x = 45,243.10
  5. Step 5: Solve for x
    x = 45,243.10/178.53
  6. Step 6: Final answer
    x = 253.42

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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.