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Finding the Fourth Proportional to 281.23, 387.90 and 164.79

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Solution

The fourth proportional to 281.23, 387.90 and 164.79 is: 227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.23 : 387.90 = 164.79 : x
  2. Step 2: Convert to fraction form
    281.23/387.90 = 164.79/x
  3. Step 3: Cross multiply
    281.23x = 387.90 × 164.79
  4. Step 4: Simplify right side
    281.23x = 63,922.04
  5. Step 5: Solve for x
    x = 63,922.04/281.23
  6. Step 6: Final answer
    x = 227.29

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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.