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Finding the Fourth Proportional to 189.36, 281.64 and 172.04

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Solution

The fourth proportional to 189.36, 281.64 and 172.04 is: 255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 281.64 = 172.04 : x
  2. Step 2: Convert to fraction form
    189.36/281.64 = 172.04/x
  3. Step 3: Cross multiply
    189.36x = 281.64 × 172.04
  4. Step 4: Simplify right side
    189.36x = 48,453.35
  5. Step 5: Solve for x
    x = 48,453.35/189.36
  6. Step 6: Final answer
    x = 255.88

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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.