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Finding the Fourth Proportional to 289.08, 433.37 and 272.97

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Solution

The fourth proportional to 289.08, 433.37 and 272.97 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.08 : 433.37 = 272.97 : x
  2. Step 2: Convert to fraction form
    289.08/433.37 = 272.97/x
  3. Step 3: Cross multiply
    289.08x = 433.37 × 272.97
  4. Step 4: Simplify right side
    289.08x = 118,293.48
  5. Step 5: Solve for x
    x = 118,293.48/289.08
  6. Step 6: Final answer
    x = 409.21

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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.