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Finding the Fourth Proportional to 186.40, 255.96 and 157.24

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Solution

The fourth proportional to 186.40, 255.96 and 157.24 is: 215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.40 : 255.96 = 157.24 : x
  2. Step 2: Convert to fraction form
    186.40/255.96 = 157.24/x
  3. Step 3: Cross multiply
    186.40x = 255.96 × 157.24
  4. Step 4: Simplify right side
    186.40x = 40,247.15
  5. Step 5: Solve for x
    x = 40,247.15/186.40
  6. Step 6: Final answer
    x = 215.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.