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Finding the Fourth Proportional to 186.71, 257.65 and 108.03

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Solution

The fourth proportional to 186.71, 257.65 and 108.03 is: 149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.71 : 257.65 = 108.03 : x
  2. Step 2: Convert to fraction form
    186.71/257.65 = 108.03/x
  3. Step 3: Cross multiply
    186.71x = 257.65 × 108.03
  4. Step 4: Simplify right side
    186.71x = 27,834.63
  5. Step 5: Solve for x
    x = 27,834.63/186.71
  6. Step 6: Final answer
    x = 149.08

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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.