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Finding the Fourth Proportional to 172.02, 257.91 and 80.64

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Solution

The fourth proportional to 172.02, 257.91 and 80.64 is: 120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.91 = 80.64 : x
  2. Step 2: Convert to fraction form
    172.02/257.91 = 80.64/x
  3. Step 3: Cross multiply
    172.02x = 257.91 × 80.64
  4. Step 4: Simplify right side
    172.02x = 20,797.86
  5. Step 5: Solve for x
    x = 20,797.86/172.02
  6. Step 6: Final answer
    x = 120.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.