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Finding the Fourth Proportional to 187.70, 279.15 and 173.30

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Solution

The fourth proportional to 187.70, 279.15 and 173.30 is: 257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.70 : 279.15 = 173.30 : x
  2. Step 2: Convert to fraction form
    187.70/279.15 = 173.30/x
  3. Step 3: Cross multiply
    187.70x = 279.15 × 173.30
  4. Step 4: Simplify right side
    187.70x = 48,375.83
  5. Step 5: Solve for x
    x = 48,375.83/187.70
  6. Step 6: Final answer
    x = 257.73

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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.