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Finding the Fourth Proportional to 186.00, 280.67 and 178.51

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Solution

The fourth proportional to 186.00, 280.67 and 178.51 is: 269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.00 : 280.67 = 178.51 : x
  2. Step 2: Convert to fraction form
    186.00/280.67 = 178.51/x
  3. Step 3: Cross multiply
    186.00x = 280.67 × 178.51
  4. Step 4: Simplify right side
    186.00x = 50,102.29
  5. Step 5: Solve for x
    x = 50,102.29/186.00
  6. Step 6: Final answer
    x = 269.36

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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.