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Finding the Fourth Proportional to 172.02, 257.83 and 69.18

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Solution

The fourth proportional to 172.02, 257.83 and 69.18 is: 103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.83 = 69.18 : x
  2. Step 2: Convert to fraction form
    172.02/257.83 = 69.18/x
  3. Step 3: Cross multiply
    172.02x = 257.83 × 69.18
  4. Step 4: Simplify right side
    172.02x = 17,836.22
  5. Step 5: Solve for x
    x = 17,836.22/172.02
  6. Step 6: Final answer
    x = 103.69

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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.