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Finding the Fourth Proportional to 186.36, 280.92 and 154.50

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Solution

The fourth proportional to 186.36, 280.92 and 154.50 is: 232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.36 : 280.92 = 154.50 : x
  2. Step 2: Convert to fraction form
    186.36/280.92 = 154.50/x
  3. Step 3: Cross multiply
    186.36x = 280.92 × 154.50
  4. Step 4: Simplify right side
    186.36x = 43,402.14
  5. Step 5: Solve for x
    x = 43,402.14/186.36
  6. Step 6: Final answer
    x = 232.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.