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Finding the Fourth Proportional to 283.43, 423.45 and 273.86

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Solution

The fourth proportional to 283.43, 423.45 and 273.86 is: 409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.43 : 423.45 = 273.86 : x
  2. Step 2: Convert to fraction form
    283.43/423.45 = 273.86/x
  3. Step 3: Cross multiply
    283.43x = 423.45 × 273.86
  4. Step 4: Simplify right side
    283.43x = 115,963.90
  5. Step 5: Solve for x
    x = 115,963.90/283.43
  6. Step 6: Final answer
    x = 409.15

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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.