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Finding the Fourth Proportional to 279.09, 384.95 and 213.48

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Solution

The fourth proportional to 279.09, 384.95 and 213.48 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 384.95 = 213.48 : x
  2. Step 2: Convert to fraction form
    279.09/384.95 = 213.48/x
  3. Step 3: Cross multiply
    279.09x = 384.95 × 213.48
  4. Step 4: Simplify right side
    279.09x = 82,178.06
  5. Step 5: Solve for x
    x = 82,178.06/279.09
  6. Step 6: Final answer
    x = 294.45

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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.