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Finding the Fourth Proportional to 186.32, 257.14 and 139.61

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Solution

The fourth proportional to 186.32, 257.14 and 139.61 is: 192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.32 : 257.14 = 139.61 : x
  2. Step 2: Convert to fraction form
    186.32/257.14 = 139.61/x
  3. Step 3: Cross multiply
    186.32x = 257.14 × 139.61
  4. Step 4: Simplify right side
    186.32x = 35,898.87
  5. Step 5: Solve for x
    x = 35,898.87/186.32
  6. Step 6: Final answer
    x = 192.67

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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.