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Finding the Fourth Proportional to 187.38, 257.77 and 161.18

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Solution

The fourth proportional to 187.38, 257.77 and 161.18 is: 221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.38 : 257.77 = 161.18 : x
  2. Step 2: Convert to fraction form
    187.38/257.77 = 161.18/x
  3. Step 3: Cross multiply
    187.38x = 257.77 × 161.18
  4. Step 4: Simplify right side
    187.38x = 41,547.37
  5. Step 5: Solve for x
    x = 41,547.37/187.38
  6. Step 6: Final answer
    x = 221.73

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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.