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Finding the Fourth Proportional to 279.15, 385.16 and 161.16

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Solution

The fourth proportional to 279.15, 385.16 and 161.16 is: 222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.15 : 385.16 = 161.16 : x
  2. Step 2: Convert to fraction form
    279.15/385.16 = 161.16/x
  3. Step 3: Cross multiply
    279.15x = 385.16 × 161.16
  4. Step 4: Simplify right side
    279.15x = 62,071.98
  5. Step 5: Solve for x
    x = 62,071.98/279.15
  6. Step 6: Final answer
    x = 222.36

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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.