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Finding the Fourth Proportional to 186.54, 257.20 and 158.48

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Solution

The fourth proportional to 186.54, 257.20 and 158.48 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.54 : 257.20 = 158.48 : x
  2. Step 2: Convert to fraction form
    186.54/257.20 = 158.48/x
  3. Step 3: Cross multiply
    186.54x = 257.20 × 158.48
  4. Step 4: Simplify right side
    186.54x = 40,761.06
  5. Step 5: Solve for x
    x = 40,761.06/186.54
  6. Step 6: Final answer
    x = 218.51

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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.