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Finding the Fourth Proportional to 186.10, 256.23 and 164.23

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Solution

The fourth proportional to 186.10, 256.23 and 164.23 is: 226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 256.23 = 164.23 : x
  2. Step 2: Convert to fraction form
    186.10/256.23 = 164.23/x
  3. Step 3: Cross multiply
    186.10x = 256.23 × 164.23
  4. Step 4: Simplify right side
    186.10x = 42,080.01
  5. Step 5: Solve for x
    x = 42,080.01/186.10
  6. Step 6: Final answer
    x = 226.12

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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.