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Finding the Fourth Proportional to 178.80, 246.25 and 154.23

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Solution

The fourth proportional to 178.80, 246.25 and 154.23 is: 212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 246.25 = 154.23 : x
  2. Step 2: Convert to fraction form
    178.80/246.25 = 154.23/x
  3. Step 3: Cross multiply
    178.80x = 246.25 × 154.23
  4. Step 4: Simplify right side
    178.80x = 37,979.14
  5. Step 5: Solve for x
    x = 37,979.14/178.80
  6. Step 6: Final answer
    x = 212.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.