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Finding the Fourth Proportional to 182.55, 273.38 and 172.53

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Solution

The fourth proportional to 182.55, 273.38 and 172.53 is: 258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.55 : 273.38 = 172.53 : x
  2. Step 2: Convert to fraction form
    182.55/273.38 = 172.53/x
  3. Step 3: Cross multiply
    182.55x = 273.38 × 172.53
  4. Step 4: Simplify right side
    182.55x = 47,165.39
  5. Step 5: Solve for x
    x = 47,165.39/182.55
  6. Step 6: Final answer
    x = 258.36

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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.