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Finding the Fourth Proportional to 187.44, 258.82 and 164.39

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Solution

The fourth proportional to 187.44, 258.82 and 164.39 is: 226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.44 : 258.82 = 164.39 : x
  2. Step 2: Convert to fraction form
    187.44/258.82 = 164.39/x
  3. Step 3: Cross multiply
    187.44x = 258.82 × 164.39
  4. Step 4: Simplify right side
    187.44x = 42,545.71
  5. Step 5: Solve for x
    x = 42,545.71/187.44
  6. Step 6: Final answer
    x = 226.98

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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.