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Finding the Fourth Proportional to 279.19, 385.32 and 213.58

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Solution

The fourth proportional to 279.19, 385.32 and 213.58 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 385.32 = 213.58 : x
  2. Step 2: Convert to fraction form
    279.19/385.32 = 213.58/x
  3. Step 3: Cross multiply
    279.19x = 385.32 × 213.58
  4. Step 4: Simplify right side
    279.19x = 82,296.65
  5. Step 5: Solve for x
    x = 82,296.65/279.19
  6. Step 6: Final answer
    x = 294.77

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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.