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Finding the Fourth Proportional to 187.37, 279.63 and 182.51

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Solution

The fourth proportional to 187.37, 279.63 and 182.51 is: 272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.37 : 279.63 = 182.51 : x
  2. Step 2: Convert to fraction form
    187.37/279.63 = 182.51/x
  3. Step 3: Cross multiply
    187.37x = 279.63 × 182.51
  4. Step 4: Simplify right side
    187.37x = 51,033.87
  5. Step 5: Solve for x
    x = 51,033.87/187.37
  6. Step 6: Final answer
    x = 272.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.