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Finding the Fourth Proportional to 173.09, 238.68 and 149.76

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Solution

The fourth proportional to 173.09, 238.68 and 149.76 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.09 : 238.68 = 149.76 : x
  2. Step 2: Convert to fraction form
    173.09/238.68 = 149.76/x
  3. Step 3: Cross multiply
    173.09x = 238.68 × 149.76
  4. Step 4: Simplify right side
    173.09x = 35,744.72
  5. Step 5: Solve for x
    x = 35,744.72/173.09
  6. Step 6: Final answer
    x = 206.52

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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.