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Finding the Fourth Proportional to 180.53, 248.61 and 172.33

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Solution

The fourth proportional to 180.53, 248.61 and 172.33 is: 237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 248.61 = 172.33 : x
  2. Step 2: Convert to fraction form
    180.53/248.61 = 172.33/x
  3. Step 3: Cross multiply
    180.53x = 248.61 × 172.33
  4. Step 4: Simplify right side
    180.53x = 42,842.96
  5. Step 5: Solve for x
    x = 42,842.96/180.53
  6. Step 6: Final answer
    x = 237.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.