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Finding the Fourth Proportional to 284.03, 389.12 and 273.09

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Solution

The fourth proportional to 284.03, 389.12 and 273.09 is: 374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.03 : 389.12 = 273.09 : x
  2. Step 2: Convert to fraction form
    284.03/389.12 = 273.09/x
  3. Step 3: Cross multiply
    284.03x = 389.12 × 273.09
  4. Step 4: Simplify right side
    284.03x = 106,264.78
  5. Step 5: Solve for x
    x = 106,264.78/284.03
  6. Step 6: Final answer
    x = 374.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.