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Finding the Fourth Proportional to 186.07, 278.90 and 83.21

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Solution

The fourth proportional to 186.07, 278.90 and 83.21 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.07 : 278.90 = 83.21 : x
  2. Step 2: Convert to fraction form
    186.07/278.90 = 83.21/x
  3. Step 3: Cross multiply
    186.07x = 278.90 × 83.21
  4. Step 4: Simplify right side
    186.07x = 23,206.36
  5. Step 5: Solve for x
    x = 23,206.36/186.07
  6. Step 6: Final answer
    x = 124.72

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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.