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Finding the Fourth Proportional to 186.14, 278.73 and 155.63

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Solution

The fourth proportional to 186.14, 278.73 and 155.63 is: 233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 278.73 = 155.63 : x
  2. Step 2: Convert to fraction form
    186.14/278.73 = 155.63/x
  3. Step 3: Cross multiply
    186.14x = 278.73 × 155.63
  4. Step 4: Simplify right side
    186.14x = 43,378.75
  5. Step 5: Solve for x
    x = 43,378.75/186.14
  6. Step 6: Final answer
    x = 233.04

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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.