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Finding the Fourth Proportional to 184.32, 273.60 and 172.32

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Solution

The fourth proportional to 184.32, 273.60 and 172.32 is: 255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 273.60 = 172.32 : x
  2. Step 2: Convert to fraction form
    184.32/273.60 = 172.32/x
  3. Step 3: Cross multiply
    184.32x = 273.60 × 172.32
  4. Step 4: Simplify right side
    184.32x = 47,146.75
  5. Step 5: Solve for x
    x = 47,146.75/184.32
  6. Step 6: Final answer
    x = 255.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.