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Finding the Fourth Proportional to 186.98, 257.74 and 128.66

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Solution

The fourth proportional to 186.98, 257.74 and 128.66 is: 177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 257.74 = 128.66 : x
  2. Step 2: Convert to fraction form
    186.98/257.74 = 128.66/x
  3. Step 3: Cross multiply
    186.98x = 257.74 × 128.66
  4. Step 4: Simplify right side
    186.98x = 33,160.83
  5. Step 5: Solve for x
    x = 33,160.83/186.98
  6. Step 6: Final answer
    x = 177.35

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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.