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Finding the Fourth Proportional to 284.06, 422.98 and 273.68

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Solution

The fourth proportional to 284.06, 422.98 and 273.68 is: 407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 422.98 = 273.68 : x
  2. Step 2: Convert to fraction form
    284.06/422.98 = 273.68/x
  3. Step 3: Cross multiply
    284.06x = 422.98 × 273.68
  4. Step 4: Simplify right side
    284.06x = 115,762.91
  5. Step 5: Solve for x
    x = 115,762.91/284.06
  6. Step 6: Final answer
    x = 407.53

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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.