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Finding the Fourth Proportional to 182.16, 251.45 and 123.19

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Solution

The fourth proportional to 182.16, 251.45 and 123.19 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 251.45 = 123.19 : x
  2. Step 2: Convert to fraction form
    182.16/251.45 = 123.19/x
  3. Step 3: Cross multiply
    182.16x = 251.45 × 123.19
  4. Step 4: Simplify right side
    182.16x = 30,976.13
  5. Step 5: Solve for x
    x = 30,976.13/182.16
  6. Step 6: Final answer
    x = 170.05

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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.