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Finding the Fourth Proportional to 173.64, 238.80 and 149.88

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Solution

The fourth proportional to 173.64, 238.80 and 149.88 is: 206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.64 : 238.80 = 149.88 : x
  2. Step 2: Convert to fraction form
    173.64/238.80 = 149.88/x
  3. Step 3: Cross multiply
    173.64x = 238.80 × 149.88
  4. Step 4: Simplify right side
    173.64x = 35,791.34
  5. Step 5: Solve for x
    x = 35,791.34/173.64
  6. Step 6: Final answer
    x = 206.12

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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.