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Finding the Fourth Proportional to 279.79, 386.06 and 161.77

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Solution

The fourth proportional to 279.79, 386.06 and 161.77 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.79 : 386.06 = 161.77 : x
  2. Step 2: Convert to fraction form
    279.79/386.06 = 161.77/x
  3. Step 3: Cross multiply
    279.79x = 386.06 × 161.77
  4. Step 4: Simplify right side
    279.79x = 62,452.93
  5. Step 5: Solve for x
    x = 62,452.93/279.79
  6. Step 6: Final answer
    x = 223.21

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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.