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Finding the Fourth Proportional to 186.60, 257.22 and 139.98

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Solution

The fourth proportional to 186.60, 257.22 and 139.98 is: 192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.60 : 257.22 = 139.98 : x
  2. Step 2: Convert to fraction form
    186.60/257.22 = 139.98/x
  3. Step 3: Cross multiply
    186.60x = 257.22 × 139.98
  4. Step 4: Simplify right side
    186.60x = 36,005.66
  5. Step 5: Solve for x
    x = 36,005.66/186.60
  6. Step 6: Final answer
    x = 192.96

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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.