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Finding the Fourth Proportional to 182.12, 252.52 and 172.40

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Solution

The fourth proportional to 182.12, 252.52 and 172.40 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 252.52 = 172.40 : x
  2. Step 2: Convert to fraction form
    182.12/252.52 = 172.40/x
  3. Step 3: Cross multiply
    182.12x = 252.52 × 172.40
  4. Step 4: Simplify right side
    182.12x = 43,534.45
  5. Step 5: Solve for x
    x = 43,534.45/182.12
  6. Step 6: Final answer
    x = 239.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.