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Finding the Fourth Proportional to 284.54, 429.25 and 273.20

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Solution

The fourth proportional to 284.54, 429.25 and 273.20 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 429.25 = 273.20 : x
  2. Step 2: Convert to fraction form
    284.54/429.25 = 273.20/x
  3. Step 3: Cross multiply
    284.54x = 429.25 × 273.20
  4. Step 4: Simplify right side
    284.54x = 117,269.73
  5. Step 5: Solve for x
    x = 117,269.73/284.54
  6. Step 6: Final answer
    x = 412.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.