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Finding the Fourth Proportional to 174.54, 262.82 and 143.98

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Solution

The fourth proportional to 174.54, 262.82 and 143.98 is: 216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 262.82 = 143.98 : x
  2. Step 2: Convert to fraction form
    174.54/262.82 = 143.98/x
  3. Step 3: Cross multiply
    174.54x = 262.82 × 143.98
  4. Step 4: Simplify right side
    174.54x = 37,840.82
  5. Step 5: Solve for x
    x = 37,840.82/174.54
  6. Step 6: Final answer
    x = 216.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.