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Finding the Fourth Proportional to 180.32, 271.72 and 172.24

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Solution

The fourth proportional to 180.32, 271.72 and 172.24 is: 259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 271.72 = 172.24 : x
  2. Step 2: Convert to fraction form
    180.32/271.72 = 172.24/x
  3. Step 3: Cross multiply
    180.32x = 271.72 × 172.24
  4. Step 4: Simplify right side
    180.32x = 46,801.05
  5. Step 5: Solve for x
    x = 46,801.05/180.32
  6. Step 6: Final answer
    x = 259.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.