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Finding the Fourth Proportional to 172.02, 257.40 and 137.82

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Solution

The fourth proportional to 172.02, 257.40 and 137.82 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.40 = 137.82 : x
  2. Step 2: Convert to fraction form
    172.02/257.40 = 137.82/x
  3. Step 3: Cross multiply
    172.02x = 257.40 × 137.82
  4. Step 4: Simplify right side
    172.02x = 35,474.87
  5. Step 5: Solve for x
    x = 35,474.87/172.02
  6. Step 6: Final answer
    x = 206.23

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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.