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Finding the Fourth Proportional to 173.48, 258.49 and 166.52

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Solution

The fourth proportional to 173.48, 258.49 and 166.52 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.48 : 258.49 = 166.52 : x
  2. Step 2: Convert to fraction form
    173.48/258.49 = 166.52/x
  3. Step 3: Cross multiply
    173.48x = 258.49 × 166.52
  4. Step 4: Simplify right side
    173.48x = 43,043.75
  5. Step 5: Solve for x
    x = 43,043.75/173.48
  6. Step 6: Final answer
    x = 248.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.