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Finding the Fourth Proportional to 279.79, 386.21 and 163.45

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Solution

The fourth proportional to 279.79, 386.21 and 163.45 is: 225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.79 : 386.21 = 163.45 : x
  2. Step 2: Convert to fraction form
    279.79/386.21 = 163.45/x
  3. Step 3: Cross multiply
    279.79x = 386.21 × 163.45
  4. Step 4: Simplify right side
    279.79x = 63,126.02
  5. Step 5: Solve for x
    x = 63,126.02/279.79
  6. Step 6: Final answer
    x = 225.62

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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.