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Finding the Fourth Proportional to 179.77, 248.02 and 142.85

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Solution

The fourth proportional to 179.77, 248.02 and 142.85 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.77 : 248.02 = 142.85 : x
  2. Step 2: Convert to fraction form
    179.77/248.02 = 142.85/x
  3. Step 3: Cross multiply
    179.77x = 248.02 × 142.85
  4. Step 4: Simplify right side
    179.77x = 35,429.66
  5. Step 5: Solve for x
    x = 35,429.66/179.77
  6. Step 6: Final answer
    x = 197.08

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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.