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Finding the Fourth Proportional to 179.24, 247.20 and 142.34

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Solution

The fourth proportional to 179.24, 247.20 and 142.34 is: 196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.24 : 247.20 = 142.34 : x
  2. Step 2: Convert to fraction form
    179.24/247.20 = 142.34/x
  3. Step 3: Cross multiply
    179.24x = 247.20 × 142.34
  4. Step 4: Simplify right side
    179.24x = 35,186.45
  5. Step 5: Solve for x
    x = 35,186.45/179.24
  6. Step 6: Final answer
    x = 196.31

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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.