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Finding the Fourth Proportional to 172.32, 257.81 and 118.05

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Solution

The fourth proportional to 172.32, 257.81 and 118.05 is: 176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.32 : 257.81 = 118.05 : x
  2. Step 2: Convert to fraction form
    172.32/257.81 = 118.05/x
  3. Step 3: Cross multiply
    172.32x = 257.81 × 118.05
  4. Step 4: Simplify right side
    172.32x = 30,433.88
  5. Step 5: Solve for x
    x = 30,433.88/172.32
  6. Step 6: Final answer
    x = 176.61

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