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Finding the Fourth Proportional to 179.68, 249.40 and 172.64

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Solution

The fourth proportional to 179.68, 249.40 and 172.64 is: 239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.68 : 249.40 = 172.64 : x
  2. Step 2: Convert to fraction form
    179.68/249.40 = 172.64/x
  3. Step 3: Cross multiply
    179.68x = 249.40 × 172.64
  4. Step 4: Simplify right side
    179.68x = 43,056.42
  5. Step 5: Solve for x
    x = 43,056.42/179.68
  6. Step 6: Final answer
    x = 239.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.