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Finding the Fourth Proportional to 186.06, 256.75 and 103.17

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Solution

The fourth proportional to 186.06, 256.75 and 103.17 is: 142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 256.75 = 103.17 : x
  2. Step 2: Convert to fraction form
    186.06/256.75 = 103.17/x
  3. Step 3: Cross multiply
    186.06x = 256.75 × 103.17
  4. Step 4: Simplify right side
    186.06x = 26,488.90
  5. Step 5: Solve for x
    x = 26,488.90/186.06
  6. Step 6: Final answer
    x = 142.37

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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.