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Finding the Fourth Proportional to 187.54, 258.83 and 121.93

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Solution

The fourth proportional to 187.54, 258.83 and 121.93 is: 168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.54 : 258.83 = 121.93 : x
  2. Step 2: Convert to fraction form
    187.54/258.83 = 121.93/x
  3. Step 3: Cross multiply
    187.54x = 258.83 × 121.93
  4. Step 4: Simplify right side
    187.54x = 31,558.34
  5. Step 5: Solve for x
    x = 31,558.34/187.54
  6. Step 6: Final answer
    x = 168.28

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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.