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Finding the Fourth Proportional to 172.99, 257.92 and 171.19

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Solution

The fourth proportional to 172.99, 257.92 and 171.19 is: 255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.99 : 257.92 = 171.19 : x
  2. Step 2: Convert to fraction form
    172.99/257.92 = 171.19/x
  3. Step 3: Cross multiply
    172.99x = 257.92 × 171.19
  4. Step 4: Simplify right side
    172.99x = 44,153.32
  5. Step 5: Solve for x
    x = 44,153.32/172.99
  6. Step 6: Final answer
    x = 255.24

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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.