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Finding the Fourth Proportional to 178.32, 246.36 and 162.12

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Solution

The fourth proportional to 178.32, 246.36 and 162.12 is: 223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.32 : 246.36 = 162.12 : x
  2. Step 2: Convert to fraction form
    178.32/246.36 = 162.12/x
  3. Step 3: Cross multiply
    178.32x = 246.36 × 162.12
  4. Step 4: Simplify right side
    178.32x = 39,939.88
  5. Step 5: Solve for x
    x = 39,939.88/178.32
  6. Step 6: Final answer
    x = 223.98

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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.