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Finding the Fourth Proportional to 186.11, 256.19 and 162.45

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Solution

The fourth proportional to 186.11, 256.19 and 162.45 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.11 : 256.19 = 162.45 : x
  2. Step 2: Convert to fraction form
    186.11/256.19 = 162.45/x
  3. Step 3: Cross multiply
    186.11x = 256.19 × 162.45
  4. Step 4: Simplify right side
    186.11x = 41,617.25
  5. Step 5: Solve for x
    x = 41,617.25/186.11
  6. Step 6: Final answer
    x = 223.62

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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.