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Finding the Fourth Proportional to 182.18, 251.69 and 142.98

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Solution

The fourth proportional to 182.18, 251.69 and 142.98 is: 197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.18 : 251.69 = 142.98 : x
  2. Step 2: Convert to fraction form
    182.18/251.69 = 142.98/x
  3. Step 3: Cross multiply
    182.18x = 251.69 × 142.98
  4. Step 4: Simplify right side
    182.18x = 35,985.92
  5. Step 5: Solve for x
    x = 35,985.92/182.18
  6. Step 6: Final answer
    x = 197.53

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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.