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Finding the Fourth Proportional to 187.79, 279.96 and 173.21

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Solution

The fourth proportional to 187.79, 279.96 and 173.21 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.79 : 279.96 = 173.21 : x
  2. Step 2: Convert to fraction form
    187.79/279.96 = 173.21/x
  3. Step 3: Cross multiply
    187.79x = 279.96 × 173.21
  4. Step 4: Simplify right side
    187.79x = 48,489.82
  5. Step 5: Solve for x
    x = 48,489.82/187.79
  6. Step 6: Final answer
    x = 258.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.