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Finding the Fourth Proportional to 186.04, 256.36 and 166.33

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Solution

The fourth proportional to 186.04, 256.36 and 166.33 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.04 : 256.36 = 166.33 : x
  2. Step 2: Convert to fraction form
    186.04/256.36 = 166.33/x
  3. Step 3: Cross multiply
    186.04x = 256.36 × 166.33
  4. Step 4: Simplify right side
    186.04x = 42,640.36
  5. Step 5: Solve for x
    x = 42,640.36/186.04
  6. Step 6: Final answer
    x = 229.20

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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.