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Finding the Fourth Proportional to 174.45, 240.80 and 143.71

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Solution

The fourth proportional to 174.45, 240.80 and 143.71 is: 198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 240.80 = 143.71 : x
  2. Step 2: Convert to fraction form
    174.45/240.80 = 143.71/x
  3. Step 3: Cross multiply
    174.45x = 240.80 × 143.71
  4. Step 4: Simplify right side
    174.45x = 34,605.37
  5. Step 5: Solve for x
    x = 34,605.37/174.45
  6. Step 6: Final answer
    x = 198.37

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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.