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Finding the Fourth Proportional to 284.80, 394.72 and 256

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Solution

The fourth proportional to 284.80, 394.72 and 256 is: 354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 394.72 = 256 : x
  2. Step 2: Convert to fraction form
    284.80/394.72 = 256/x
  3. Step 3: Cross multiply
    284.80x = 394.72 × 256
  4. Step 4: Simplify right side
    284.80x = 101,048.32
  5. Step 5: Solve for x
    x = 101,048.32/284.80
  6. Step 6: Final answer
    x = 354.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.