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Finding the Fourth Proportional to 279.84, 386.64 and 213.69

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Solution

The fourth proportional to 279.84, 386.64 and 213.69 is: 295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 386.64 = 213.69 : x
  2. Step 2: Convert to fraction form
    279.84/386.64 = 213.69/x
  3. Step 3: Cross multiply
    279.84x = 386.64 × 213.69
  4. Step 4: Simplify right side
    279.84x = 82,621.10
  5. Step 5: Solve for x
    x = 82,621.10/279.84
  6. Step 6: Final answer
    x = 295.24

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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.