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Finding the Fourth Proportional to 172.93, 258.94 and 142.41

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Solution

The fourth proportional to 172.93, 258.94 and 142.41 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.93 : 258.94 = 142.41 : x
  2. Step 2: Convert to fraction form
    172.93/258.94 = 142.41/x
  3. Step 3: Cross multiply
    172.93x = 258.94 × 142.41
  4. Step 4: Simplify right side
    172.93x = 36,874.71
  5. Step 5: Solve for x
    x = 36,874.71/172.93
  6. Step 6: Final answer
    x = 213.23

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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.