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Finding the Fourth Proportional to 279.06, 385.08 and 161.04

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Solution

The fourth proportional to 279.06, 385.08 and 161.04 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.06 : 385.08 = 161.04 : x
  2. Step 2: Convert to fraction form
    279.06/385.08 = 161.04/x
  3. Step 3: Cross multiply
    279.06x = 385.08 × 161.04
  4. Step 4: Simplify right side
    279.06x = 62,013.28
  5. Step 5: Solve for x
    x = 62,013.28/279.06
  6. Step 6: Final answer
    x = 222.22

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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.