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Finding the Fourth Proportional to 172.30, 258.03 and 110.60

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Solution

The fourth proportional to 172.30, 258.03 and 110.60 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.30 : 258.03 = 110.60 : x
  2. Step 2: Convert to fraction form
    172.30/258.03 = 110.60/x
  3. Step 3: Cross multiply
    172.30x = 258.03 × 110.60
  4. Step 4: Simplify right side
    172.30x = 28,538.12
  5. Step 5: Solve for x
    x = 28,538.12/172.30
  6. Step 6: Final answer
    x = 165.63

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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.