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Finding the Fourth Proportional to 284.20, 392.20 and 179.44

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Solution

The fourth proportional to 284.20, 392.20 and 179.44 is: 247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 392.20 = 179.44 : x
  2. Step 2: Convert to fraction form
    284.20/392.20 = 179.44/x
  3. Step 3: Cross multiply
    284.20x = 392.20 × 179.44
  4. Step 4: Simplify right side
    284.20x = 70,376.37
  5. Step 5: Solve for x
    x = 70,376.37/284.20
  6. Step 6: Final answer
    x = 247.63

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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.