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Finding the Fourth Proportional to 186.77, 257.76 and 140.29

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Solution

The fourth proportional to 186.77, 257.76 and 140.29 is: 193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.77 : 257.76 = 140.29 : x
  2. Step 2: Convert to fraction form
    186.77/257.76 = 140.29/x
  3. Step 3: Cross multiply
    186.77x = 257.76 × 140.29
  4. Step 4: Simplify right side
    186.77x = 36,160.51
  5. Step 5: Solve for x
    x = 36,160.51/186.77
  6. Step 6: Final answer
    x = 193.61

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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.