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Finding the Fourth Proportional to 178.38, 246.26 and 158.91

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Solution

The fourth proportional to 178.38, 246.26 and 158.91 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 246.26 = 158.91 : x
  2. Step 2: Convert to fraction form
    178.38/246.26 = 158.91/x
  3. Step 3: Cross multiply
    178.38x = 246.26 × 158.91
  4. Step 4: Simplify right side
    178.38x = 39,133.18
  5. Step 5: Solve for x
    x = 39,133.18/178.38
  6. Step 6: Final answer
    x = 219.38

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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.