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Finding the Fourth Proportional to 186.28, 278.09 and 154.12

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Solution

The fourth proportional to 186.28, 278.09 and 154.12 is: 230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 278.09 = 154.12 : x
  2. Step 2: Convert to fraction form
    186.28/278.09 = 154.12/x
  3. Step 3: Cross multiply
    186.28x = 278.09 × 154.12
  4. Step 4: Simplify right side
    186.28x = 42,859.23
  5. Step 5: Solve for x
    x = 42,859.23/186.28
  6. Step 6: Final answer
    x = 230.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.