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Finding the Fourth Proportional to 378.68, 522.05 and 279.18

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Solution

The fourth proportional to 378.68, 522.05 and 279.18 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.68 : 522.05 = 279.18 : x
  2. Step 2: Convert to fraction form
    378.68/522.05 = 279.18/x
  3. Step 3: Cross multiply
    378.68x = 522.05 × 279.18
  4. Step 4: Simplify right side
    378.68x = 145,744.52
  5. Step 5: Solve for x
    x = 145,744.52/378.68
  6. Step 6: Final answer
    x = 384.88

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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.