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Finding the Fourth Proportional to 186.39, 256.23 and 166.77

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Solution

The fourth proportional to 186.39, 256.23 and 166.77 is: 229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 256.23 = 166.77 : x
  2. Step 2: Convert to fraction form
    186.39/256.23 = 166.77/x
  3. Step 3: Cross multiply
    186.39x = 256.23 × 166.77
  4. Step 4: Simplify right side
    186.39x = 42,731.48
  5. Step 5: Solve for x
    x = 42,731.48/186.39
  6. Step 6: Final answer
    x = 229.26

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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.