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Finding the Fourth Proportional to 284.29, 425.96 and 273.62

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Solution

The fourth proportional to 284.29, 425.96 and 273.62 is: 409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 425.96 = 273.62 : x
  2. Step 2: Convert to fraction form
    284.29/425.96 = 273.62/x
  3. Step 3: Cross multiply
    284.29x = 425.96 × 273.62
  4. Step 4: Simplify right side
    284.29x = 116,552.92
  5. Step 5: Solve for x
    x = 116,552.92/284.29
  6. Step 6: Final answer
    x = 409.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.