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Finding the Fourth Proportional to 186.43, 279.69 and 70.87

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Solution

The fourth proportional to 186.43, 279.69 and 70.87 is: 106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.43 : 279.69 = 70.87 : x
  2. Step 2: Convert to fraction form
    186.43/279.69 = 70.87/x
  3. Step 3: Cross multiply
    186.43x = 279.69 × 70.87
  4. Step 4: Simplify right side
    186.43x = 19,820.93
  5. Step 5: Solve for x
    x = 19,820.93/186.43
  6. Step 6: Final answer
    x = 106.32

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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.