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Finding the Fourth Proportional to 284.20, 423.89 and 273.40

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Solution

The fourth proportional to 284.20, 423.89 and 273.40 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 423.89 = 273.40 : x
  2. Step 2: Convert to fraction form
    284.20/423.89 = 273.40/x
  3. Step 3: Cross multiply
    284.20x = 423.89 × 273.40
  4. Step 4: Simplify right side
    284.20x = 115,891.53
  5. Step 5: Solve for x
    x = 115,891.53/284.20
  6. Step 6: Final answer
    x = 407.78

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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.