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Finding the Fourth Proportional to 172.41, 258.63 and 154.32

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Solution

The fourth proportional to 172.41, 258.63 and 154.32 is: 231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.41 : 258.63 = 154.32 : x
  2. Step 2: Convert to fraction form
    172.41/258.63 = 154.32/x
  3. Step 3: Cross multiply
    172.41x = 258.63 × 154.32
  4. Step 4: Simplify right side
    172.41x = 39,911.78
  5. Step 5: Solve for x
    x = 39,911.78/172.41
  6. Step 6: Final answer
    x = 231.49

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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.