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Finding the Fourth Proportional to 182.51, 251.84 and 112.55

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Solution

The fourth proportional to 182.51, 251.84 and 112.55 is: 155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.51 : 251.84 = 112.55 : x
  2. Step 2: Convert to fraction form
    182.51/251.84 = 112.55/x
  3. Step 3: Cross multiply
    182.51x = 251.84 × 112.55
  4. Step 4: Simplify right side
    182.51x = 28,344.03
  5. Step 5: Solve for x
    x = 28,344.03/182.51
  6. Step 6: Final answer
    x = 155.31

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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.