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Finding the Fourth Proportional to 186.34, 257.11 and 108.70

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Solution

The fourth proportional to 186.34, 257.11 and 108.70 is: 149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 257.11 = 108.70 : x
  2. Step 2: Convert to fraction form
    186.34/257.11 = 108.70/x
  3. Step 3: Cross multiply
    186.34x = 257.11 × 108.70
  4. Step 4: Simplify right side
    186.34x = 27,946.03
  5. Step 5: Solve for x
    x = 27,946.03/186.34
  6. Step 6: Final answer
    x = 149.98

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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.