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Finding the Fourth Proportional to 187.92, 258.66 and 178.20

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Solution

The fourth proportional to 187.92, 258.66 and 178.20 is: 245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 258.66 = 178.20 : x
  2. Step 2: Convert to fraction form
    187.92/258.66 = 178.20/x
  3. Step 3: Cross multiply
    187.92x = 258.66 × 178.20
  4. Step 4: Simplify right side
    187.92x = 46,093.21
  5. Step 5: Solve for x
    x = 46,093.21/187.92
  6. Step 6: Final answer
    x = 245.28

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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.