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Finding the Fourth Proportional to 287.08, 428.93 and 273.64

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Solution

The fourth proportional to 287.08, 428.93 and 273.64 is: 408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.08 : 428.93 = 273.64 : x
  2. Step 2: Convert to fraction form
    287.08/428.93 = 273.64/x
  3. Step 3: Cross multiply
    287.08x = 428.93 × 273.64
  4. Step 4: Simplify right side
    287.08x = 117,372.41
  5. Step 5: Solve for x
    x = 117,372.41/287.08
  6. Step 6: Final answer
    x = 408.85

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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.