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Finding the Fourth Proportional to 178.61, 245.43 and 170.56

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Solution

The fourth proportional to 178.61, 245.43 and 170.56 is: 234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.61 : 245.43 = 170.56 : x
  2. Step 2: Convert to fraction form
    178.61/245.43 = 170.56/x
  3. Step 3: Cross multiply
    178.61x = 245.43 × 170.56
  4. Step 4: Simplify right side
    178.61x = 41,859.47
  5. Step 5: Solve for x
    x = 41,859.47/178.61
  6. Step 6: Final answer
    x = 234.37

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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.