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Finding the Fourth Proportional to 173.16, 238.74 and 149.76

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Solution

The fourth proportional to 173.16, 238.74 and 149.76 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.16 : 238.74 = 149.76 : x
  2. Step 2: Convert to fraction form
    173.16/238.74 = 149.76/x
  3. Step 3: Cross multiply
    173.16x = 238.74 × 149.76
  4. Step 4: Simplify right side
    173.16x = 35,753.70
  5. Step 5: Solve for x
    x = 35,753.70/173.16
  6. Step 6: Final answer
    x = 206.48

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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.