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Finding the Fourth Proportional to 173.35, 257.98 and 166.87

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Solution

The fourth proportional to 173.35, 257.98 and 166.87 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.35 : 257.98 = 166.87 : x
  2. Step 2: Convert to fraction form
    173.35/257.98 = 166.87/x
  3. Step 3: Cross multiply
    173.35x = 257.98 × 166.87
  4. Step 4: Simplify right side
    173.35x = 43,047.00
  5. Step 5: Solve for x
    x = 43,047.00/173.35
  6. Step 6: Final answer
    x = 248.33

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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.