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Finding the Fourth Proportional to 172.49, 257.18 and 170.69

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Solution

The fourth proportional to 172.49, 257.18 and 170.69 is: 254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.49 : 257.18 = 170.69 : x
  2. Step 2: Convert to fraction form
    172.49/257.18 = 170.69/x
  3. Step 3: Cross multiply
    172.49x = 257.18 × 170.69
  4. Step 4: Simplify right side
    172.49x = 43,898.05
  5. Step 5: Solve for x
    x = 43,898.05/172.49
  6. Step 6: Final answer
    x = 254.50

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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.