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Finding the Fourth Proportional to 178.77, 246.45 and 142.05

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Solution

The fourth proportional to 178.77, 246.45 and 142.05 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 246.45 = 142.05 : x
  2. Step 2: Convert to fraction form
    178.77/246.45 = 142.05/x
  3. Step 3: Cross multiply
    178.77x = 246.45 × 142.05
  4. Step 4: Simplify right side
    178.77x = 35,008.22
  5. Step 5: Solve for x
    x = 35,008.22/178.77
  6. Step 6: Final answer
    x = 195.83

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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.