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Finding the Fourth Proportional to 187.75, 258.93 and 166.76

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Solution

The fourth proportional to 187.75, 258.93 and 166.76 is: 229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.75 : 258.93 = 166.76 : x
  2. Step 2: Convert to fraction form
    187.75/258.93 = 166.76/x
  3. Step 3: Cross multiply
    187.75x = 258.93 × 166.76
  4. Step 4: Simplify right side
    187.75x = 43,178.84
  5. Step 5: Solve for x
    x = 43,178.84/187.75
  6. Step 6: Final answer
    x = 229.98

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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.