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Finding the Fourth Proportional to 182.50, 251.89 and 112.64

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Solution

The fourth proportional to 182.50, 251.89 and 112.64 is: 155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.50 : 251.89 = 112.64 : x
  2. Step 2: Convert to fraction form
    182.50/251.89 = 112.64/x
  3. Step 3: Cross multiply
    182.50x = 251.89 × 112.64
  4. Step 4: Simplify right side
    182.50x = 28,371.63
  5. Step 5: Solve for x
    x = 28,371.63/182.50
  6. Step 6: Final answer
    x = 155.47

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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.