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Finding the Fourth Proportional to 178.57, 246.61 and 142.00

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Solution

The fourth proportional to 178.57, 246.61 and 142.00 is: 196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.57 : 246.61 = 142.00 : x
  2. Step 2: Convert to fraction form
    178.57/246.61 = 142.00/x
  3. Step 3: Cross multiply
    178.57x = 246.61 × 142.00
  4. Step 4: Simplify right side
    178.57x = 35,018.97
  5. Step 5: Solve for x
    x = 35,018.97/178.57
  6. Step 6: Final answer
    x = 196.11

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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.