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Finding the Fourth Proportional to 186.84, 257.06 and 164.61

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Solution

The fourth proportional to 186.84, 257.06 and 164.61 is: 226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 257.06 = 164.61 : x
  2. Step 2: Convert to fraction form
    186.84/257.06 = 164.61/x
  3. Step 3: Cross multiply
    186.84x = 257.06 × 164.61
  4. Step 4: Simplify right side
    186.84x = 42,313.82
  5. Step 5: Solve for x
    x = 42,313.82/186.84
  6. Step 6: Final answer
    x = 226.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.