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Finding the Fourth Proportional to 187.34, 281.40 and 181.19

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Solution

The fourth proportional to 187.34, 281.40 and 181.19 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.34 : 281.40 = 181.19 : x
  2. Step 2: Convert to fraction form
    187.34/281.40 = 181.19/x
  3. Step 3: Cross multiply
    187.34x = 281.40 × 181.19
  4. Step 4: Simplify right side
    187.34x = 50,986.87
  5. Step 5: Solve for x
    x = 50,986.87/187.34
  6. Step 6: Final answer
    x = 272.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.