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Finding the Fourth Proportional to 178.88, 246.78 and 105.20

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Solution

The fourth proportional to 178.88, 246.78 and 105.20 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 246.78 = 105.20 : x
  2. Step 2: Convert to fraction form
    178.88/246.78 = 105.20/x
  3. Step 3: Cross multiply
    178.88x = 246.78 × 105.20
  4. Step 4: Simplify right side
    178.88x = 25,960.02
  5. Step 5: Solve for x
    x = 25,960.02/178.88
  6. Step 6: Final answer
    x = 145.12

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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.