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Finding the Fourth Proportional to 186.54, 280.14 and 170.42

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Solution

The fourth proportional to 186.54, 280.14 and 170.42 is: 255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.54 : 280.14 = 170.42 : x
  2. Step 2: Convert to fraction form
    186.54/280.14 = 170.42/x
  3. Step 3: Cross multiply
    186.54x = 280.14 × 170.42
  4. Step 4: Simplify right side
    186.54x = 47,741.46
  5. Step 5: Solve for x
    x = 47,741.46/186.54
  6. Step 6: Final answer
    x = 255.93

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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.