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Finding the Fourth Proportional to 284.04, 422.97 and 273

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Solution

The fourth proportional to 284.04, 422.97 and 273 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.04 : 422.97 = 273 : x
  2. Step 2: Convert to fraction form
    284.04/422.97 = 273/x
  3. Step 3: Cross multiply
    284.04x = 422.97 × 273
  4. Step 4: Simplify right side
    284.04x = 115,470.81
  5. Step 5: Solve for x
    x = 115,470.81/284.04
  6. Step 6: Final answer
    x = 406.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.