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Finding the Fourth Proportional to 187.28, 258.43 and 120.99

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Solution

The fourth proportional to 187.28, 258.43 and 120.99 is: 166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.28 : 258.43 = 120.99 : x
  2. Step 2: Convert to fraction form
    187.28/258.43 = 120.99/x
  3. Step 3: Cross multiply
    187.28x = 258.43 × 120.99
  4. Step 4: Simplify right side
    187.28x = 31,265.93
  5. Step 5: Solve for x
    x = 31,265.93/187.28
  6. Step 6: Final answer
    x = 166.95

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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.