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Finding the Fourth Proportional to 284.52, 394.54 and 275.30

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Solution

The fourth proportional to 284.52, 394.54 and 275.30 is: 381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 394.54 = 275.30 : x
  2. Step 2: Convert to fraction form
    284.52/394.54 = 275.30/x
  3. Step 3: Cross multiply
    284.52x = 394.54 × 275.30
  4. Step 4: Simplify right side
    284.52x = 108,616.86
  5. Step 5: Solve for x
    x = 108,616.86/284.52
  6. Step 6: Final answer
    x = 381.75

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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.