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Finding the Fourth Proportional to 186.32, 278.76 and 138.08

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Solution

The fourth proportional to 186.32, 278.76 and 138.08 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.32 : 278.76 = 138.08 : x
  2. Step 2: Convert to fraction form
    186.32/278.76 = 138.08/x
  3. Step 3: Cross multiply
    186.32x = 278.76 × 138.08
  4. Step 4: Simplify right side
    186.32x = 38,491.18
  5. Step 5: Solve for x
    x = 38,491.18/186.32
  6. Step 6: Final answer
    x = 206.59

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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.