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Finding the Fourth Proportional to 186.31, 279.42 and 70.81

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Solution

The fourth proportional to 186.31, 279.42 and 70.81 is: 106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.31 : 279.42 = 70.81 : x
  2. Step 2: Convert to fraction form
    186.31/279.42 = 70.81/x
  3. Step 3: Cross multiply
    186.31x = 279.42 × 70.81
  4. Step 4: Simplify right side
    186.31x = 19,785.73
  5. Step 5: Solve for x
    x = 19,785.73/186.31
  6. Step 6: Final answer
    x = 106.20

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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.