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Finding the Fourth Proportional to 279.29, 385.42 and 154.95

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Solution

The fourth proportional to 279.29, 385.42 and 154.95 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.29 : 385.42 = 154.95 : x
  2. Step 2: Convert to fraction form
    279.29/385.42 = 154.95/x
  3. Step 3: Cross multiply
    279.29x = 385.42 × 154.95
  4. Step 4: Simplify right side
    279.29x = 59,720.83
  5. Step 5: Solve for x
    x = 59,720.83/279.29
  6. Step 6: Final answer
    x = 213.83

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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.