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Finding the Fourth Proportional to 187.60, 256.50 and 182.48

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Solution

The fourth proportional to 187.60, 256.50 and 182.48 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 256.50 = 182.48 : x
  2. Step 2: Convert to fraction form
    187.60/256.50 = 182.48/x
  3. Step 3: Cross multiply
    187.60x = 256.50 × 182.48
  4. Step 4: Simplify right side
    187.60x = 46,806.12
  5. Step 5: Solve for x
    x = 46,806.12/187.60
  6. Step 6: Final answer
    x = 249.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.