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Finding the Fourth Proportional to 178.07, 244.42 and 170.56

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Solution

The fourth proportional to 178.07, 244.42 and 170.56 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.07 : 244.42 = 170.56 : x
  2. Step 2: Convert to fraction form
    178.07/244.42 = 170.56/x
  3. Step 3: Cross multiply
    178.07x = 244.42 × 170.56
  4. Step 4: Simplify right side
    178.07x = 41,687.05
  5. Step 5: Solve for x
    x = 41,687.05/178.07
  6. Step 6: Final answer
    x = 234.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.