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Finding the Fourth Proportional to 187.82, 257.53 and 169.32

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Solution

The fourth proportional to 187.82, 257.53 and 169.32 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.82 : 257.53 = 169.32 : x
  2. Step 2: Convert to fraction form
    187.82/257.53 = 169.32/x
  3. Step 3: Cross multiply
    187.82x = 257.53 × 169.32
  4. Step 4: Simplify right side
    187.82x = 43,604.56
  5. Step 5: Solve for x
    x = 43,604.56/187.82
  6. Step 6: Final answer
    x = 232.17

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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.