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Finding the Fourth Proportional to 186.19, 256.94 and 108.57

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Solution

The fourth proportional to 186.19, 256.94 and 108.57 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.19 : 256.94 = 108.57 : x
  2. Step 2: Convert to fraction form
    186.19/256.94 = 108.57/x
  3. Step 3: Cross multiply
    186.19x = 256.94 × 108.57
  4. Step 4: Simplify right side
    186.19x = 27,894.69
  5. Step 5: Solve for x
    x = 27,894.69/186.19
  6. Step 6: Final answer
    x = 149.82

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