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Finding the Fourth Proportional to 186.39, 278.31 and 164.28

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Solution

The fourth proportional to 186.39, 278.31 and 164.28 is: 245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 278.31 = 164.28 : x
  2. Step 2: Convert to fraction form
    186.39/278.31 = 164.28/x
  3. Step 3: Cross multiply
    186.39x = 278.31 × 164.28
  4. Step 4: Simplify right side
    186.39x = 45,720.77
  5. Step 5: Solve for x
    x = 45,720.77/186.39
  6. Step 6: Final answer
    x = 245.30

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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.